# What is the GCF of 56 and 64?

GCF (Greatest Common Factor) of two numbers is the largest possible number which divides the two numbers exactly without any remainder.

## Answer: GCF of 56 and 64 is 8

Lets see how to find the GCF of 56 and 64

## Explanation:

LEt us find the GCF0f 56 and 64 by 2 methods

### GCF of 56 and 64 by Prime Factorization

Represent 56 and 64 as a product of its prime factors.

Prime factorization of 56 is 2 × 2 × 2 × 7

Prime factorization of 64 is 2 × 2 × 2 × 2 × 2 × 2

The common factors in the prime factorization of 56 and 64 are 2, 2 and 2

GCF is the product of the factors that are common to each of the given numbers.

Since the common factors are 2, 2 and 2, the GCF of 56 and 64 is 8

### GCF of 56 and 64 by Listing the Common Factors

Look at the factors of 56 and 64 shown below.

There are four common factors of 56 and 64, that are, 1, 2, 4, and 8. Greatest among them is 8.

So, GCF of 56 and 64 is 8

You can find the GCF in any of the above methods but the solution will be the same.