# What is the GCF of 84 and 96?

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

## Answer: GCF of 84 and 96 is 12

Two methods to find the GCF of 84 and 96 are explained below.

## Methods to find GCF of 84 and 96

- GCF of 84 and 96 by Prime Factorization
- GCF of 84 and 96 by Common Factors

### Method 1: GCF of 84 and 96 by Prime Factorization

Represent 84 and 96 as a product of its prime factors.

Prime factorization of 84 is 2 × 2 × 3 × 7

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

The common factors in the prime factorization of 84 and 96 are 2, 2, and 3

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

Since the common factors are 2, 2, and 3, the GCF of 84 and 96 is 12

### Method 2: GCF of 84 and 96 by Listing the Common Factors

There are six common factors of 84 and 96, that are, 1, 2, 3, 4, 6, and 12

So, GCF of 84 and 96 is 12

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

### Therefore, GCF of 84 and 96 is 12

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