Greatest Common Factor of 56 and 9632
GCF(56, 9632) = 56, Greatest common factor of 56 and 9632 is 56. Greatest Common Factor or Greatest Common Divisor of two numbers is the largest integer by which both the numbers can be divided. There are two different methods to calculate Greatest Common Factor of 56 and 9632. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 56 and 9632 by prime factorization method
We will first find the prime factorization of 56 and 9632.
Prime Factorization of 56 is 1, 2, 2, 2, 7 and Prime Factorization of 9632 is 1, 2, 2, 2, 2, 2, 7, 43.
- Factorize\( (56) = \) \(1\times 2\times 2\times 2\times 7\)
- Factorize\( (9632) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 7\times 43\)
Now we need to find any which are common for each number (1, 2, 2, 2, 7) and multiply these numbers together.
\(GCF(56, 9632) = 1\times 2\times 2\times 2\times 7 = 56\).
Greatest Common Factor of 56 and 9632 by matching factors method
List of positive integers factors of 56 leaving a remainder zero is 1, 2, 4, 7, 8, 14, 28, 56
List of positive integers factors of 9632 leaving a remainder zero is 1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816, 9632
As you can see, 56 is the greatest and common number that 56 and 9632 divides into.
So the greatest common factor 56 and 9632 is 56.
\(GCF(56, 9632) = 56\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
