# What is the GCF of 64 and 28?

The highest possible number which divides the given numbers exactly without leaving any remainder is called the GCF (Greatest Common Factor).

## Answer: GCF of 64 and 28 is 4

GCF of 64 and 28 is the highest number that divides 64 and 28 exactly leaving the remainder 0.

## Explanation:

Look at the methods to find the GCF (64, 28)

- GCF of 64 and 28 by Prime Factorization
- GCF of 64 and 28 by Listing the Common Factors

### Method 1: Find GCF of 64 and 28 by Prime Factorization

Represent 64 and 28 as a product of its prime factors.

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

Prime factorization of 28 is 2 × 2 × 7

The common factor in the prime factorization of 64 and 28 are 2 and 2.

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

So, GCF of 64 and 28 is 2 × 2 = 4

### Method 2: Find GCF of 64 and 28 by Listing the Common Factors

The factors of 64 and 28 are shown below.

There are only 3 common factors of 64 and 28, that are, 1, 2 and 4.

The greatest common factor of 64 and 28 is 4.

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