# What is the GCF of 64 and 96?

HCF of two numbers 64 and 96 is the largest number which divides both the numbers exactly.

## Answer: GCF of 64 and 96 is 32

Let's find the GCF of 64 and 96

## Explanation:

The Greatest common factor of 64 and 96 is the largest possible number which divides both the numbers completely with zero remainders.

We will use the following two methods to find the HCF of 64 and 96

- GCF of 64 and 96 by Prime factorization Method
- GCF of 64 and 96 by Listing Method

### Method 1: Find GCF of 64 and 96 by Prime Factorization

In this method, we represent 64 and 96 as a product of its prime factors.

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

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

Common factors in the prime factorization of 64 and 96 is 2, 2, 2, 2, 2

GCF is the product of the common factors of 64 and 96= 2 × 2 × 2 × 2 × 2 = 32

GCF of 64 and 96 is 32

### Method 2: GCF of 64 and 96 by Listing the Common Factors

In this method, we list all the factors of 64 and 96, then identify the common factors.

Factors of 64 are **1, **2, 4, 8, 16, 32, 64.

Factors of 96 are **1,** 2, 4, 6, 8, 12, 16, 24, 32, 48, 96.

The common factor of 64 and 96 are 1, 2, 4, 8, 16, 32.

The greatest common factor of 64 and 96 is 32