# What is the GCF of 48 and 56?

Greatest Common Factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.

## Answer: GCF of 48 and 56 is 8

Two methods to find the GCF of 48 and 56 are explained below.

## Methods to find GCF of 48 and 56

- GCF of 48 and 56 by Prime Factorization
- GCF of 48 and 56 by Common Factors

### Method 1: GCF of 48 and 56 by Prime Factorization

### Represent 48 and 56 as a product of its prime factors.

Prime factorization of 48 is 2 × 2 × 2 × 2 × 3

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

The common factors in the prime factorization of 48 and 56 are the repeated factors, that 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 48 and 56 is 8

### Method 2: GCF of 48 and 56 by Listing the Common Factors

There are four common factors of 48 and 56, that are, 1, 2, 4 and 8

So, GCF of 48 and 56 is 8

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