# What is the GCF of 96 and 144?

The GCF (Greatest Common Factor) of two numbers is the highest possible number which divides both the numbers exactly. GCF of a and b is denoted by GCF(a, b).

## Answer: GCF of 96 and 144 is 48

We will explain two methods to find the GCF of 96 and 144

## Explanation:

The two methods that we are using to find GCF of 96 and 144 are shown below.

- GCF of 96 and 144 by Listing the Common Factors
- GCF of 96 and 144 by Prime Factorization

### Method 1: GCF of 96 and 144 by Listing the Common Factors

The factors of 96 and 144 are shown below.

The common factors of 96 and 144 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Clearly, the greatest common factor is 48.

So, GCF of 96 and 144 is 48.

### Method 2: GCF of 96 and 144 by Prime Factorization

We will represent 96 and 144 as a product of their prime factors.

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

Prime factorization of 144 is 2 × 2 × 2 × 2 × 3 × 3

Common prime factors are 2, 2, 2, 2 and 3.

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

GCF of 96 and 144 is 2 × 2 × 2 × 2 × 3 = 48

Irrespective of the method, the solution to our question GCF of 96 and 144 is the same.