# What is the GCF of 86 and 42?

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

## Answer: GCF of 86 and 42 is 2

Two methods to find the GCF of 86 and 42 are explained below.

## Methods to find GCF of 86 and 42

We will be using two different methods to calculate the GCF of 86 and 42 that is

a) Listing Common Factors

b) Long Division

### Method1: GCF of 86 and 42 by Listing the Common Factors

Let's list down the factors of 86 and 42 as shown below

Common Factors of 86 and 42: 1, 2

Out of the above common factors we see that the greatest common factor is 2

GCF of 86 and 42 is 2

### Method2: GCF of 86 and 42 by Long Division Method

- Divide 86 by 42 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
- The divisor of the final step is the GCF of the given numbers.

GCF of 86 and 42 is 2

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