# What is the GCF of 24 and 32?

The largest number that divides two or more numbers is the Greatest Common Factor for those numbers also known as GCF

## Answer: GCF of 24 and 32 is 8

Two methods to find the GCF of 24 and 32 are explained below.

## Methods to find the GCF of 24 and 32

There are multiple approaches to calculate the greatest common factor such as

- Listing the common factors method
- Long division Method

### Method1: GCF of 24 and 32 by Listing the Common Factors

Common Factors of 32 and 54 : 1, 2, 8

Greatest common factor is 8

GCF of 24 and 32 is 8

### Method2: GCF of 24 and 32 by Long Division

- Divide 32 by 24 and check the remainder.
- Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Continue till you get remainder as 0

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

### Therefore, Thus, GCF of 24 and 32 is 8

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