# What is the GCF of 6 and 10?

Greatest Common Factor of 6 and 10 is the largest number which divides the 6 and 10 exactly without any remainder.

## Answer: GCF of 6 and 10 is 2

Two methods to find the GCF of 6 and 10 are explained below.

## Methods to calculate GCF of 6 and 10

1. Prime factorization Method

2. Listing the common factors method

### Method1: GCF of 6 and 10 by Prime Factorization

We will prime factorize the numbers 6 and 10

Common factors = 2

GCF of 6 and 10 is 2

### Method2: GCF of 6 and 10 by Listing the Common Factors

LEt us list the factors of 6 and factors of 10 and identify all the common factors. The biggest number among them is the GCF of 6 and 10.

Thus, we see that the Common Factors of 6 and 10: 1, 2

Greatest common factor = 2

GCF of 6 and 10 is 2