# What is the GCF of 42 and 60?

The greatest common factor of two or more non-zero integers, x & y, is the greatest positive integer m, which divides both, x & y

## Answer: The GCF of 42 and 60 is 6

Let us see how to find the GCF of 42 and 60.

## Explanation

We have multiple ways to calculate the GCF of 42 and 60

- Prime Factorization
- Listing Common Factors

### Method1: GCF of 42 and 60 by Prime factorization

Let's prime factorize the numbers 42 and 60:

Prime Factorisation of 42: 2×3×7

Prime Factorisation of 60: 2×2×3×5

GCF is the product of all the common factors of 42 and 60 taken once

Hence, GCF(42,60) = 2×3=6

### Method 2 : Listing common factors of 42 and 60

- Write all the factors of 42 and 60.
- Identify the common factors.
- The biggest number amongst the common factors is the GCF.(42,60)

We see that their greatest common factor is 6

Hence, GCF(42,60) is equal to 6