# What is the GCF of 24 and 30?

The highest common factor or greatest common factor of two numbers is the maximum possible number that divides the given numbers exactly.

## Answer: GCF of 24 and 30 is 6

Two methods to find the GCF of 24 and 30 are explained below.

## Most Common Methods to Find GCF of 24 and 30

We can find the GCF by the following methods

- Prime factorization Method
- Listing the common factors method

### Method1: GCF of 24 and 30 by Prime Factorization

We represent 24 and 30 as a product of their prime factors.

Prime factorization of 24 is given by 2 × 2 × 2 × 3

Prime factorization of 30 is 2 × 3 × 5

The greatest common factor(GCF) is the product of the prime factors that are common to each of the given numbers.

### Method2: GCF of 24 and 30 by Listing the Common Factors

Factors of 24: 1, 2, 3, 4, 6, 8, 12 and 24

Factors of 30 : 1, 2, 3, 5, 6, 10, 15 and 30

Common Factors of 24 and 30: 1, 2, 3 and 6

GCF of 24 and 30 is 6

We can find GCF in any of the above methods, independent of the method we choose, the solution will be the same.