# What is the GCF of 28 and 56?

GCF (Greatest Common Factor) of 28 and 56 is the largest possible number which divides the two numbers exactly without any remainder, that is, leaving the remainder as 0

## Answer: GCF of 28 and 56 is 25

Lets see how to find the GCF of 28 and 56.

## Explanation:

GCF of 28 and 56 will the greatest number that divides 28 and 56 completely, without remainder. Let's see two methods to find the GCF of 28 and 56

### Method 1: GCF of 28 and 56 by Prime Factorization

Represent 28 and 56 as a product of its prime factors.

Prime factorization of 28 is 2 × 2 × 7

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

The common factor in the prime factorization of 28 and 56 is 2, 2 and 7.

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

So, GCF of 25 and 60 is 2 × 2 × 7 = 28

### Method 2: GCF of 28 and 56 by Listing the Common Factors

The factors of 28 and 56 are shown below:

Factors of 28: 1, 2, 4, 7, 14, 28

Factors of 56: 1, 2, 4, 7, 8, 14, 28, and 56.

There are six common factors of 28 and 56, that are, 1, 2, 4, 7, 14, and 28.

So, GCF of 28 and 56 is 28.

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