# What is the GCF of 32, 56, and 96?

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

## Answer: GCF of 32, 56, and 96 is 8

We will explain two methods to find the GCF of 32, 56, and 96.

## Explanation:

The two methods that we are using to find GCF of 32, 56, and 96 are shown below.

- GCF of 32, 56, and 96 by Listing the Common Factors
- GCF of 32, 56, and 96 by Prime Factorization

### Method 1: GCF of 32, 56, and 96 by Listing the Common Factors

The factors of 32, 56, and 96 are shown below

The common factors of 32, 56, and 96 are 1, 2, 4, and 8.

Clearly, the greatest common factor is 8.

So, GCF of 32, 56, and 96 is 8.

### Method 2: GCF of 32, 56, and 96 by Prime Factorization

We will represent 32, 56, and 96 as a product of their prime factors.

Prime factorization of 32 is 2 × 2 × 2 × 2 × 2

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

Prime factorization of 96 is 2 × 2 × 2 × 2 × 2 × 3

Common prime factor are repeated 2, that is; 2, 2 and 2.

GCF of 34 and 38 is 2 × 2 × 2 = 8

Irrespective of the method, the solution to our question GCF of 32, 56, and 96 is the same.