# What is the GCF of 32 and 40?

GCF (Greatest Common Factor) of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.

## Answer: GCF of 32 and 40 is 8

Two methods to find the GCF of 32 and 40 are explained below.

## Methods to find GCF of 32 and 40

- Listing the common factors method
- Long division Method

### Method1: Listing the Common Factors

Common Factors of 32 and 40: 2, 4, 8

The greatest common factor is 8

GCF of 32 and 40 is 8

### Method2: Long Division

- Step 1: Larger number(40) is taken as dividend and the smaller(32) as the divisor and then the division is performed.
- Step 2: 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.
- Step 3: Continue till you get remainder as 0

The above two methods yeild the same answer.