# What is the GCF of 24 and 96?

Greatest Common Factor (GCF): A number which is the largest and also is perfectly or exactly dividing the given set of numbers.

## Answer: GCF of 24 and 96 is 24

Let us see how to find the GCF of 24 and 96

## Explanation

Below are two methods by which we can find the GCF of 24 and 96:

- Listing g the factors
- Prime factorization

### Method 1: Listing the Factors to Find the GCF of 24 and 96:

- List the factors of the given numbers.
- Spot the common factors.
- Mark the largest amongst the common factors as the GCF

We see the common factors of 24 and 96 are 1,2, 3,4,6,8,12, 24

The biggest number among them 24 is the GCF of 24 and 96.

### Method 2: GCF of 24 and 96 by Prime Factorisation:

Here each number is written in their prime factorised form. GCF is the product of all the common factors of 24 and 96 taken once.

Prime Factorised form of 24: 2×2×2×3

Prime Factorised form of 96: 2×2×2×2×2×3

GCF of 24 and 96: 2×2×2×3=24

GCF (24 and 96) is 24