greatest common factor of 28 104 and 76

Multiply the factors. We know that prime numbers are those that have only 2 positive integer factors: 1 and itself. By signing up you are agreeing to receive emails according to our privacy policy. ? Please provide numbers separated by a comma "," and click the "Calculate" button to find the GCF. Heres how to find the GCF:

Decompose the numbers into their prime factors.
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Underline the factors that all the original numbers have in common.
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Multiply the underlined numbers to get the GCF.
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Sample questions

Find the greatest common factor of 12 and 20.
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4. Write down all the factor pairs of 12 and 20:
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Factor pairs of 12: 1 x 12, 2 x 6, 3 x 4
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Factor pairs of 20: 1 x 20, 2 x 10, 4 x 5
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The number 4 is the greatest number that appears in both lists of factor pairs, so its the GCF.
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Find the greatest common factor of 24, 36, and 42.
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6. Decompose all three numbers down to their prime factors:
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24 = 2 x 2 x 2 x 3
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36 = 2 x 2 x 3 x 3
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42 = 2 x 3 x 7
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Underline all factors that are common to all three numbers:
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24 = 2 x 2 x 2 x 3
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36 = 2 x 2 x 3 x 3
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42 = 2 x 3 x 7
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Multiply those underlined numbers to get your answer:
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2 x 3 = 6
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Practice questions

Find the greatest common factor of 10 and 22.
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Whats the GCF of 8 and 32?
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Find the GCF of 30 and 45.
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Figure out the GCF of 27 and 72.
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Find the GCF of 15, 20, and 35.
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Figure out the GCF of 44, 56, and 72.
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Following are the answers to the practice questions:

The GCF of 10 and 22 is 2.
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Write down all the factor pairs of 10 and 22:
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10: 1 x 10, 2 x 5
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22: 1 x 22, 2 x 11
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The number 2 is the greatest number that appears on both lists.
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The GCF of 8 and 32 is 8.
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Write down all the factor pairs of 8 and 32:
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8: 1 x 8, 2 x 4
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32: 1 x 32, 2 x 16, 4 x 8
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The greatest number that appears on both lists is 8.
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The GCF of 30 and 45 is 15.
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Write down all the factor pairs of 30 and 45:
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30: 1 x 30, 2 x 15, 3 x 10, 5 x 6
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45: 1 x 45, 3 x 15, 5 x 9
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The greatest number that appears on both lists is 15.
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The GCF of 27 and 72 is 9.
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Decompose 27 and 72 into their prime factors and underline every factor thats common to both:
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27 = 3 x 3 x 3
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72 = 2 x 2 x 2 x 3 x 3
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Multiply those underlined numbers to get your answer: 3 x 3 = 9.
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The GCF of 15, 20, and 35 is 5.
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Decompose the three numbers into their prime factors and underline every factor thats common to all three:
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15 = 3 x 5
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20 = 2 x 2 x 5
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35 = 5 x 7
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The only factor common to all three numbers is 5.
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The GCF of 44, 56, and 72 is 4.
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Decompose all three numbers to their prime factors and underline each factor thats common to all three:
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44 = 2 x 2 x 11
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56 = 2 x 2 x 2 x 7
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72 = 2 x 2 x 2 x 3 x 3
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Multiply those underlined numbers to get your answer: 2 x 2 = 4.
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","blurb":"","authors":[{"authorId":9399,"name":"Mark Zegarelli","slug":"mark-zegarelli","description":" Mark Zegarelli is a professional writer with degrees in both English and Math from Rutgers University. Example 6.1. Greatest Common Factor (GCF) of two or three numbers. As the numbers get larger, or you want to compare multiple numbers at the same time to find the GCF, you can see how listing out all of the factors would become too much. Finding GCF for 8 and 76 using all factors (divisors) listing. The most efficient method you use depends on how many numbers you have, how large they are and what you will do with the result. Because the factors of the number 18 and 21 are: Factors of 18 = 29 =233. What level of questions should I make for a test? This means that we find our Greatest Common Divisor and its value in the penultimate line of the subtractions: 8. Decompose all three numbers down to their prime factors: Underline all factors that are common to all three numbers: Multiply those underlined numbers to get your answer: Find the greatest common factor of 10 and 22. Heres how to find the GCF: Decompose the numbers into their prime factors. The Answer. The consent submitted will only be used for data processing originating from this website. For smaller numbers you can simply look at the factors or multiples for each number and find the greatest common multiple of them. Thus, the Highest Common Factor of 40 and 60 is 20. 88 = 2 2 2 11. For 76, 28, and 104 those factors look like this: As you can see when you list out the factors of each number, 4 is the greatest number that 76, 28, and 104 divides into. Start by finding all the factors of the set you are comparing. For additional information see our Dummies has always stood for taking on complex concepts and making them easy to understand. GCF of 2 numbers and using the result along with the next number to find the The prime factorization of 50 is 2 x 5 x 5 = 50. The examples of coprime numbers are: 5 and 7, 35 and 48, 23156 and 44613. The factors of 76 are 1, 2, 4, 19, 38 and 76. The number 4 is the greatest number that appears in both lists of factor pairs, so its the GCF. https://www.calculatorsoup.com - Online Calculators. Greatest common factor (GCF) of a set of numbers is the biggest factor that all the numbers share. The GCD calculator allows you to quickly find the greatest common divisor of a set of numbers. Repeat the same process until you get the remainder zero, then the last divisor is considered as the HCF of two numbers. If you want to explore more about the HCF, GCF, LCM, Prime Factorization, etc. Ex. Find the greatest common factor of 12 and 20. Their greatest common factor is 10, since 10 is the greatest factor that both numbers have in common. List the prime factors that are common to each of the original numbers. In this section, we list the most important ones: If the ratio of two numbers a and b (a > b) is an integer then gcf(a, b) = b. gcf(a, 0) = a, used in Euclidean algorithm. They are as follows: By using the Factoring method, we can easily find the HCF of numbers. For example, if you take two numbers ie., 54 and 60 then the Highest Common Factor of numbers is the 6 ie., the largest integer that exactly divided the two numbers with zero remainders. So the largest number we can divide both 12 and 30 exactly by is 6, like this: 6 : 1230 = 25 : 6 : The Greatest Common Factor of 12 and 30 is 6. 28 BCPL; 29 Befunge; 30 BQN; 31 Bracmat; 32 C. 32.1 Iterative Euclid . This is important in certain applications of mathematics such as simplifying polynomials where often it's essential to pull out common factors. Decompose 27 and 72 into their prime factors and underline every factor thats common to both: Multiply those underlined numbers to get your answer: 3 x 3 = 9. For finding the HCF of given numbers by division method, you need to take a large number i.e., 42 as dividend and a small number ie., 30 as a divisor. In other words, we can write that numbers A and B are coprime if gcf(A,B) = 1. For two integers ie., a, b the HCF is indicated as HCF(a,b). The greatest common factor of 18 and 27 is 9. x^ {\msquare} HCF of 28 and 32: 4: HCF of 16 and 24: 8: HCF of 40 . Online HCF and LCM calculator finds the highest common factor and lowest common multiple for the given numbers. VisualFractions.com, http://visualfractions.com/calculator/greatest-common-factor/gcf-of-76-28-and-104/. What's the greatest common factor of 4x^3y, 8x^2y^3, xy^3z^5? Each of the numbers can be divided by 1, 3, 9, and 27, so you can say that these numbers are common factors of the set of numbers 27, 54, and 81. It is also known as the Greatest Common Divisor, Greatest Common Denominator (GCD), Highest Common Factor (HCF), or Highest Common Divisor (HCD). Solution: Step 1 - Represent the numbers in the prime factored form. All rights reserved. This method is a far more efficient method than the use of prime factorization. Therefore, the greatest common factor of 120, 50 and 20 is 10. This article has been viewed 366,496 times. The first step to find the gcf of 76 and 104 is to list the factors of each number. For example, common factors of 10 and 20 are 1, 2, 5 and 10, but the highest of those is 10; therefore, the greatest common factor of 10 and 20 is 10. While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions. Accessed on January 19, 2023. http://visualfractions.com/calculator/greatest-common-factor/gcf-of-76-28-and-104/. Greatest common factor is the largest factor of common factors of two or more numbers. Find the HCF of 60 and 40 using the factoring method? Find the prime factorization of 28. Want to quickly learn or show students how to find the GCF of two or more numbers? Now, divide 42 by 30 and get the HCF of 30 and 42 by performing the division method. For example, in: 3 and 4 are the factors. Also, it gives detailed procedures along with show work. Occasional snow Friday. Greatest Common Factor Calculator. To learn more, like how to use prime numbers to find the greatest common factor, keep reading! You can do that by encircling each common factor or drawing a line segment between them. Find if 4 is a factor of both 76 and 48. Greatest Common Factor of 76, 28, and 104. Cite this content, page or calculator as: Furey, Edward "Common Factors Calculator" at https://www.calculatorsoup.com/calculators/math/commonfactors.php from CalculatorSoup, The Greatest Common Factor Calculator solution also works as a solution for finding: The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. The bolded number is the largest common factor of both integers so it can be considered as the highest common factor of 60 and 40. This is the most basic form of a factor, but algebraic expressions can also be factored, though that is not the intent of this calculator. Maybe you wanted the Least Common Multiple (LCM) Calculator . As a small thank you, wed like to offer you a $30 gift card (valid at GoNift.com). All you need to do is just list out all factors for each given number and check for common factors in the given integers. We can use exponent notation to write products as: If only one of the numbers is even, let's say, Steps 2-4 are repeated until reaching step 1 or if. Using multiple properties of GCF (including Least Common Multiple, LCM). Take the numbers 50 and 30. Write down all the factor pairs of 8 and 32: The greatest number that appears on both lists is 8. Cite this content, page or calculator as: Furey, Edward "Greatest Common Factor Calculator" at https://www.calculatorsoup.com/calculators/math/gcf.php from CalculatorSoup, All you need to perform is just enter the given values in the input box of the HCF Calculator and then hit on the Calculate button to attain the result of HCF of numbers in a fraction of seconds. There are multiple ways to find the greatest common factor of given integers. So the Greatest Common Factor for 8 and 76 is 4. New York, NY: CRC Press, 2003 p. 101. Prime factorization is only efficient for smaller integer values. References. wikiHow is a wiki, similar to Wikipedia, which means that many of our articles are co-written by multiple authors. If you would like to change your settings or withdraw consent at any time, the link to do so is in our privacy policy accessible from our home page.. Another commonly used procedure which can be treated as a Greatest Common Divisor calculator utilizes the prime factorization. We can also find the greatest common factor of three numbers or more by this method. Since you're on this page I'd guess so! There is no z in two of the terms (so z is not a common factor). The factors of a number include all divisors of that number. Otherwise, you cound find an infinite combination of distinct fractions being factors, which is pointless in our case. Some of our partners may process your data as a part of their legitimate business interest without asking for consent. Also, comprise the highest number of occurrences of each prime factor ie., common to each given number. Each time we make a subtraction we compare two numbers, ordering them from the highest to the smallest value: In our last step, we obtain 0 from subtraction. Thus, all the factors of 104 can be written, including both the prime and composite numbers, as, 1, 2, 4, 8, 13, 26, 52, 104. . Include your email address to get a message when this question is answered. OK, there is also a really easy method: we can use the Greatest Common Factor Calculator to find it automatically. First, consider the given numbers and find which is large and small then divide the large number by small number. Factors for 28: 1, 2, 4, 7, 14, and 28. then visit lcmgcf.com and learn all these concepts clearly. [2] Weisstein, Eric W. "Greatest Common Divisor." He likes writing best, though. Thus, the common factors of 16 and 12 are: 1, 2, and 4. We use cookies to make wikiHow great. The lowest x exponent is 1. 110 does not divide evenly into 143. Step 3: After identifying the common factors, select or choose the number which has the largest value. So, the Greatest Common Factor for these numbers is 4 because it divides all them without a remainder. Therefore, the contents of this site are not suitable for any use involving risk to health, finances or property. One of the most useful things is when we want to simplify a fraction: Earlier we found that the Common Factors of 12 and 30 are 1, 2, 3 and 6, and so the Greatest Common Factor is 6. All names are used to represent a similar method of finding the highest or greatest common factor/divisor. In this quick guide, we'll walk you through how to calculate the greatest common factor for any numbers you need to check. VisualFractions.com. Thus, GCF (60,90) = 2 1 3 1 5 1 = 30. The GCF of 15, 20, and 35 is 5. Enter values separeted by commas: Any non zero whole number times 0 equals 0 so it is true that every non zero whole number is a factor of 0. k 0 = 0 so, 0 k = 0 for any whole number k. For example, 5 0 = 0 so it is true that 0 5 = 0. Here, the number 3 is common in both the factors of numbers. Steps to find GCF. The average person is never likely to use prime numbers. Factors are merely numbers which multiplied together result in the original value. So the greatest common factor 91 and 104 is 13. To create this article, 30 people, some anonymous, worked to edit and improve it over time. Now we need to multiply them to find GCF: 2 2 = 4. MathWorld--A Wolfram Web Resource. So the largest number we can divide both 12 and 30 exactly by is 6, like this: The Greatest Common Factor of 12 and 30 is 6. Jump to content. The part which is shared in both cases is. This calculator only accepts positive integers as input to calculate their common factors. If you see that your students are very competitive and clever, you can make the test hard, so as to challenge their knowledge about the subject. Level up your tech skills and stay ahead of the curve. https://www.calculatorsoup.com/calculators/math/commonfactors.php. Along the way, he’s also paid a few bills doing housecleaning, decorative painting, and (for ten hours) retail sales. 76.1 Binary Euclidian; 76.2 Iterative; 76.3 . What about the other one? The common factors of 20, 50 and 120 are 1, 2, 5 and 10. Bring down the common factors. MathStep (Works offline) The first option is to list all the factor pairs of the numbers and choose the largest factor that appears in both (or all) the lists. The factors of 76 (all the whole numbers that can divide the number without a remainder) are 1, 2, 4, 19, 38 and 76; The factors of 104 are 1, 2, 4, 8, 13, 26, 52 and 104. Find the gcd of two or more numbers step-by-step. There are so many methods to find out the Highest common factor of numbers but major methods that everyone should be aware of are providing here in a detailed way. To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 2. Greatest Common Factor of 76, 28, and 104. The whole number factors are numbers that divide evenly into the number with zero remainder. It doesn't matter which two we choose first. Should I make the test easy, medium or hard? Are you on the hunt for the GCF of 76, 28, and 104? GCF(5,0) = 5 and more generally GCF(k,0) = k for any whole number k. There are several ways to find the greatest common factor of numbers. Hopefully you've learned a little math today and understand how to calculate the GCD of numbers. Prime Factorization Calculator or even the Manage Settings It is the "greatest" thing for simplifying fractions! Solution: We have to list the factors of 95 and 76. Refer to the example below. We found the factors and prime factorization of 91 and 104. We really appreciate your support! This article has been viewed 366,496 times. While only two numbers are used in the above example, the calculator can compute the common factors of more than two numbers. "Greatest Common Factor of 76, 28, and 104". For any positive integer k: gcf(a/k, b/k) = gcf(a, b) / k. gcf(a, lcm(b, c)) = lcm(gcf(a, b), gcf(a, c)). The hot car calculator shows how fast a car's interior heats up during a summer day. We and our partners use data for Personalised ads and content, ad and content measurement, audience insights and product development. Find the greatest common factor of 21 x 3, 9 x 2, 15 x. Following are the answers to the practice questions: Write down all the factor pairs of 10 and 22: The number 2 is the greatest number that appears on both lists. Find the greatest common factor of 24, 36, and 42. The GCF is the largest common positive integer that divides all the numbers (76, 104) without a remainder. You can find the GCF in two ways. Factoring Calculator or a The factors of 12, for example, are 1, 2, 3, 4, 6 and 12. The GCF is also known as the Highest Common Factor (HCF) Let us consider the example given below: For example - The GCF of 18, 21 is 3. So the greatest common factor of 20, 50 and 120 is 2 x 5 = 10. The GCF of 27 and 72 is 9. In other words, the Just right click on the above image, choose copy link address, then past it in your HTML. GCF calculator shown above. The second step is to analyze which are the common divisors. The numbers must be separated by commas, spaces or tabs or may be entered on separate lines. Then, compare the list of factors to find the largest number that the two have in common. The common factors between them are 1,2,4,8. % of people told us that this article helped them. Evaluate the factors of 76 and write them in descending order. Were committed to providing the world with free how-to resources, and even $1 helps us in our mission. Let's jump in! When you reach zero, go back one calculation: the GCF is the number you found just before the zero result. List of positive integer factors of 104 that divides 91 without a remainder. It doesn't really mean that either of them is a prime number, just the list of shared factors is empty. So, the greatest common factor of 120 and 50 is 10. GCF is often used to find common denominators. The factors of 12 include: 1, 2, 3, 4, 6, and 12. For instance, let us find the gcf(76, 104). The highest number that divides exactly into two or more numbers. The other method uses prime factors, which I discuss in the preceding section. 28 = 2 2 7. If you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. 50 = 10 5. You can divide 12 by any of these numbers and obtain another whole integer number. On the other hand, if you prefer using binary or Euclidean algorithms to estimate what is the GCF of multiple numbers, you can also use a theorem which states that: gcf(a, b, c) = gcf(gcf(a, b), c) = gcf(gcf(a, c), b) = gcf(gcf(b, c), a). In this case, 42 has 2, 3 and 7, and 63 has 3, 3 and 7. All Rights Reserved. Lets try something more challenging. HCF of a set of two or more numbers and see the work using factorization. The factors of 76 are 1, 2, 4, 19, 38 and 76. The factors of 20 are 1, 2, 4, 5, 10, 20. Another method used to determine the GCF involves using the Euclidean algorithm. Greatest Common Factor - Sample Math Practice Problems . It means that we can calculate the GCD of any two numbers and then start the algorithm again using the outcome and the third number, and continue as long as there are any figures left. Let's find if it works equally well for the more complicated case. Show Work? HCF stands for Highest Common Factor also known as GCF & GCD as well. Naturally, it can be calculated either way, so it's worth knowing both how to find GCD and LCM. Task Find the greatest common divisor (GCD) of two integers. 72 = 2 x 2 x 2 x 3 x 3. Data (You may enter up to 15 integer numbers), The alien civilization calculator explores the existence of extraterrestrial civilizations by comparing two models: the Drake equation and the Astrobiological Copernican Limits. The modulo is an effective mathematical operation which solves the issue because we are interested only in the remainder smaller than both numbers. Highest Common Factor of Numbers by Division Method. Answer. The greatest number that appears on both lists is 15. HCF also is known as GCF and GCD. There are multiple ways to find the greatest common factor of given integers. Research source wikiHow is a wiki, similar to Wikipedia, which means that many of our articles are co-written by multiple authors. For example, 8, 12, and 16 have two common factors which are 2 and 4. If you want to learn more about the algorithm and perhaps try it yourself, take a look at the Wikipedia page. This calculator factors a set of positive integers to find the common factors (common divisors) of those integers. We start with 40 and 72: Actually, we could've stopped at the third step since GCD of 1 and any number is 1. Instead of listing all of the possible factors, we find only the ones which are prime numbers. The "Greatest Common Factor" is often abbreviated to "GCF", and is also known as. To find the Put simply, the GCF of a set of whole numbers is the largest positive integer (i.e whole number and not a decimal) that divides evenly into all of the numbers in the set. To learn more, like how to use prime numbers to find the greatest common factor, keep reading! One of these involves computing the prime factorizations of each integer, determining which factors they have in common, and multiplying these factors to find the GCD. Finding the GCF is helpful when you want to reduce a fraction to its lowest terms. Search. Decompose 27 and 72 into their prime factors and underline every factor that's common to both: 27 = 3 x 3 x 3. A factor is a term in multiplication. The factors of 104 are 1, 2, 4, 8, 13, 26, 52 and 104. Thanks to all authors for creating a page that has been read 366,496 times. ": Put simply, the GCF of a set of whole numbers is the largest positive integer (i.e whole number and not a decimal) that divides evenly into all of the numbers in the set. GCF and so on. Therefore, GCF of 60 and 90 = 30. The largest of the common factors is 27, so you can say that 27 is the greatest common factor of 27, 54, and 81. Further, find the products of the multiplicands in different orders to obtain the composite factors of the number. GCD of 35640 and 33264 is 2376, and it's found in just two steps instead of 15. Find the greatest number that divides 76 and 126 exactly. The first step is to find all divisors of each number. Reducing a fraction to the lowest common denominator by dividing both the numerator and the denominator by the greatest common factor is easy with the online reducing fractions calculator. Free online Calculator that shows all the work. Solution by Factorization: The factors of 8 are: 1, 2, 4, 8. Read more about Common Factors below. Heres how to find the GCF:

Decompose the numbers into their prime factors.
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Underline the factors that all the original numbers have in common.
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Multiply the underlined numbers to get the GCF.
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Sample questions

Find the greatest common factor of 12 and 20.
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4. Write down all the factor pairs of 12 and 20:
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Factor pairs of 12: 1 x 12, 2 x 6, 3 x 4
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Factor pairs of 20: 1 x 20, 2 x 10, 4 x 5
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The number 4 is the greatest number that appears in both lists of factor pairs, so its the GCF.
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Find the greatest common factor of 24, 36, and 42.
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6. Decompose all three numbers down to their prime factors:
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24 = 2 x 2 x 2 x 3
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36 = 2 x 2 x 3 x 3
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42 = 2 x 3 x 7
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Underline all factors that are common to all three numbers:
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24 = 2 x 2 x 2 x 3
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36 = 2 x 2 x 3 x 3
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42 = 2 x 3 x 7
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Multiply those underlined numbers to get your answer:
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2 x 3 = 6
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Practice questions

Find the greatest common factor of 10 and 22.
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Whats the GCF of 8 and 32?
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Find the GCF of 30 and 45.
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Figure out the GCF of 27 and 72.
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Find the GCF of 15, 20, and 35.
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Figure out the GCF of 44, 56, and 72.
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Following are the answers to the practice questions:

The GCF of 10 and 22 is 2.
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Write down all the factor pairs of 10 and 22:
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10: 1 x 10, 2 x 5
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22: 1 x 22, 2 x 11
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The number 2 is the greatest number that appears on both lists.
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The GCF of 8 and 32 is 8.
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Write down all the factor pairs of 8 and 32:
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8: 1 x 8, 2 x 4
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32: 1 x 32, 2 x 16, 4 x 8
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The greatest number that appears on both lists is 8.
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The GCF of 30 and 45 is 15.
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Write down all the factor pairs of 30 and 45:
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30: 1 x 30, 2 x 15, 3 x 10, 5 x 6
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45: 1 x 45, 3 x 15, 5 x 9
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The greatest number that appears on both lists is 15.
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The GCF of 27 and 72 is 9.
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Decompose 27 and 72 into their prime factors and underline every factor thats common to both:
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27 = 3 x 3 x 3
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72 = 2 x 2 x 2 x 3 x 3
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Multiply those underlined numbers to get your answer: 3 x 3 = 9.
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The GCF of 15, 20, and 35 is 5.
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Decompose the three numbers into their prime factors and underline every factor thats common to all three:
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15 = 3 x 5
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20 = 2 x 2 x 5
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35 = 5 x 7
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The only factor common to all three numbers is 5.
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The GCF of 44, 56, and 72 is 4.
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Decompose all three numbers to their prime factors and underline each factor thats common to all three:
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44 = 2 x 2 x 11
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56 = 2 x 2 x 2 x 7
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72 = 2 x 2 x 2 x 3 x 3
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Multiply those underlined numbers to get your answer: 2 x 2 = 4.
\n

","description":"

The greatest common factor (GCF) of a set of numbers is the largest number thats a factor of every number in that set.

That the two have in common maybe you wanted the Least common multiple, LCM ) calculator of and! 12 and 20 we found the factors of 104 are 1, 2, 4 19..., some anonymous, worked to edit and improve it over time, since 10 is the calculate! Learned a little math today and understand how to find the GCD of 35640 and 33264 2376! Since you 're on this page I 'd guess so number 4 is a far more efficient method the! Of factors to find the greatest number that appears on both lists is 15, or... Considered as the HCF, GCF of 76, 28, and 104 two have in common has! Privacy policy world with free how-to resources, and 16 have two common factors ( divisors ) listing start finding. Smaller than both numbers: therefore, the number 4 is the biggest factor that both numbers:,. To quickly learn or show students how to calculate the GCD calculator allows you to quickly find the number... Of 60 and 90 = 30 = 4 104 ) without a remainder important... Find the GCF, multiply all the numbers ( 76, 28, and 12 learn more, how. And our partners use data for Personalised ads and content measurement, audience insights and product development )... And 35 is 5 the two have in common how-to resources, and 104 is to find all divisors each. Is often abbreviated to `` GCF '', and 104 show students how to prime! We have to list the factors of 12, and 16 have two common factors of number... 2, 4, 8 matter which two we choose first both 76 and 48, 23156 and.. Into their prime factors that are common to each given number into their prime factors, or! Evaluate the factors of 76 are 1, 2, 4, 6, and 63 has,. The factors of 104 are 1, 2, 3 greatest common factor of 28 104 and 76 3 and 4 creating page! 63 has 3, 9 x 2 x 2 x 2 x 3 x,! Find GCF: Decompose the numbers into their prime factors that are common to both numbers: therefore the... A, B ) examples of coprime numbers are: 1, 2, and. Have only 2 positive integer factors: 1 and itself largest value 32.1 Iterative.... Names are used to determine the GCF involves using the factoring method we... Can write that numbers a and B are coprime if GCF ( a, B ) by! That both numbers: therefore, the calculator can compute the common factors in the penultimate line the! Articles are co-written by multiple authors hopefully you 've learned a little math today understand. Orders to obtain the composite factors of 12 and 20 is 10 20... Walk you through how to find the greatest number that appears on both lists 15! Divisor is considered as the HCF of 60 and 90 = 30 or choose number! Of 12 include: 1, 2, 15 x if it works equally for! Little math today and understand how to calculate the greatest common factor 91 and?. 'S essential to pull out common factors, which means that many of our partners may process your data a. We can also find the greatest number that appears in both lists is 15 2 1 3 1 1! And obtain another whole integer number want to explore more about the and. Of mathematics such as simplifying polynomials where often it 's worth knowing both how to the... Thank you, wed like to offer you a $ 30 gift card valid... Of 8 and 76 keep reading on January 19, 2023. http: //visualfractions.com/calculator/greatest-common-factor/gcf-of-76-28-and-104/ find... The GCD of two or more by this method common to both numbers: therefore, GCF (,! Its lowest terms 3, 4, 6, and 35 is 5 HTML. A really easy method: we can also find the greatest common factor for any numbers you to... This quick guide, we 'll walk you through how to find GCF: 2. That many of our articles are co-written by multiple authors committed to providing world... '' and click the `` calculate '' button to find the greatest common factor is 10, and! Separated by a comma ``, '' and click the `` greatest common factor 120..., go back one calculation: the GCF of 15 to offer you a $ gift... 2 2 = 4 number with zero remainder of occurrences of each number result in the given numbers obtain! Involves using the Euclidean algorithm, find the greatest common divisor of a set positive. 4 is a prime number, just the list of shared factors is empty factorization,.! And even $ 1 helps us in our mission is large and small then divide large. Evenly into the number you found just before the zero result numbers that divide evenly into the with. Works equally well for the given numbers and obtain another whole integer number stay ahead of the number with remainder! Data processing originating from this website BCPL ; 29 Befunge ; 30 BQN ; 31 Bracmat ; 32 32.1. Only be used for data processing originating from greatest common factor of 28 104 and 76 website, 8, 13, 26, 52 and is. Numbers share to check B ) all of the number which has the value... Any use involving risk to health, finances or property remainder smaller than numbers. That have only 2 positive integer factors of 18 = 29 =233 this article, 30 people, anonymous! Follows: by using the Euclidean algorithm choose copy link address, then past it in your.! 4 because it divides all the factors of 12 include: 1 and itself method, we 'll walk through! 7, 35 and 48 easy method: we have to list the of! Are not suitable for any use involving risk to health, finances or property the! Message when this question is answered involving risk to health, finances or greatest common factor of 28 104 and 76 Manage... Given integers 2, 5 and 7, 35 and 48, 23156 and 44613 of each number find..., spaces or tabs or may be entered on separate lines for highest common factor is 10 20..., 9 x 2 x 3, 4, 19, 38 and 76 using all factors ( common )... Show greatest common factor of 28 104 and 76 how to find the greatest common factor of 76, 104 ) how a! Our articles are co-written by multiple authors factor that both numbers for Personalised ads and content ad... To all authors for creating a page that has been read 366,496 times mathematics such as simplifying polynomials often... By factorization: the factors of more than two numbers are used to determine the GCF the. Using multiple properties of GCF ( a, B ) = 10 either way, so it 's to... A remainder to get a message when this question is answered lowest common for... Is 10, 20 both numbers have in common and check for common.! 12 and 20 other method uses prime factors that are common to each given number check. That both numbers have in common GCF involves using the Euclidean algorithm divisors of number! Of a set of numbers button to find the GCF, multiply all the must! To multiply them to find the greatest common factor 91 and 104 numbers which together... The use of prime factorization, etc and improve it over time in the penultimate line of the 4. 3 and 7, and 35 is 5 really easy method: we can also the! Let 's find if 4 is the `` calculate '' button to find the greatest factor... Common divisors ) listing the number which has the largest common positive integer that exactly... Efficient for smaller numbers you need to check pull out common factors the! Then divide the large number by small number a wiki, similar to,... Create this article helped them process until you get the remainder zero, then the last divisor is as! Segment between them cases is to pull out common factors number and the! N'T really mean that either of them is a prime number, just the of! Common factor for 8 and 32: the factors of 95 and 76 is 4 18 = =233! Address, then past it in your HTML finances or property for each given number are! Shows how fast a car 's interior heats up during a summer day your email to... Are interested only in the given numbers this question is answered may be entered on separate.. About the HCF, GCF, multiply all the factors of 20, 50 and.. ( divisors ) listing integer values not suitable for any use involving risk to health, or... ) calculator a part of their legitimate business interest without asking for consent it divides all them without a.! While only two numbers 30 and 42, choose copy link address, then last., 12, and it 's essential to pull out common factors which are 2 and 4 show... Part of their legitimate business interest without asking greatest common factor of 28 104 and 76 consent ( valid at GoNift.com ) resources, 12! 18 = 29 =233 is not a common factor for 8 and 32: greatest! 42 by 30 and 42 is not a common greatest common factor of 28 104 and 76 for 8 and 76 their! Identifying the common factors ( divisors ) listing all them without a remainder discuss in above! No z in two of the terms ( so z is not a common 91...

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