Greatest Common Factor of 56 and 322
GCF(56, 322) = 14, Greatest common factor of 56 and 322 is 14. 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 322. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 56 and 322 by prime factorization method
We will first find the prime factorization of 56 and 322.
Prime Factorization of 56 is 1, 2, 2, 2, 7 and Prime Factorization of 322 is 1, 2, 7, 23.
- Factorize\( (56) = \) \(1\times 2\times 2\times 2\times 7\)
- Factorize\( (322) = \) \(1\times 2\times 7\times 23\)
Now we need to find any which are common for each number (1, 2, 7) and multiply these numbers together.
\(GCF(56, 322) = 1\times 2\times 7 = 14\).
Greatest Common Factor of 56 and 322 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 322 leaving a remainder zero is 1, 2, 7, 14, 23, 46, 161, 322
As you can see, 14 is the greatest and common number that 56 and 322 divides into.
So the greatest common factor 56 and 322 is 14.
\(GCF(56, 322) = 14\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
