# What is the GCF of 32 and 56?

Greatest Common Factor or GCF, is the greatest factor that divides two numbers.

## Answer: GCF of 32 and 56 is 8

Two methods to find the GCF of 32 and 56 are explained below.

## Methods to find GCF of 32 and 56

- Listing the common factors method
- Long division Method

### Method1: GCF of 32 and 56 by Listing the Common Factors

We see that,

Common Factors of 32 and 56 are 1, 2, 4, 8

Greatest common factor is 8

GCF of 32 and 56 is 8

### Method2: GCF of 32 and 56 by Long Division Method

- Step 1: Divide 56 by 32 and check the remainder.
- 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
- Step 4: The divisor of the final step is the GCF of the given numbers.

GCF of 32 and 56 is 8