# What is the GCF of 84 and 42?

The largest possible number which divides the given numbers exactly without leaving any remainder is called the GCF (Greatest Common Factor).

## Answer: GCF of 84 and 42 is 42

We will explain two methods to find the GCF of 84 and 42

## Explanation:

The two methods that we are using to find GCF of 84 and 42 are shown below.

- Listing the common factors method
- Long Division method

### Method 1: Find GCF of 84 and 42 by Listing Common Factors

The factors of 84 and 42 are shown below

The highest common factor of 84 and 42 is 42.

So, GCF of 84 and 42 is 42.

### Method 2: Find GCF of 84 and 42 by Long Division

To find the GCF(84, 42), divide 42 by 84 and check the remainder.

We get the remainder 0. So the GCF of 42 and 84 is 42.

The greatest common factor of 84 and 42 is 42.

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