# What is the GCF of 8 and 36?

To find the Greatest Common Factor of two numbers, we have to determine the largest possible number which divides the two numbers exactly leaving the remainder as 0.

## Answer: GCF of 8 and 36 is 4

We can explain the GCF of 8 and 36 by the following two methods.

## Methods to find GCF of 8 and 36

- Listing the common factors method
- Long Division Method

### GCF of 8 and 36 by Listing the Common Factors

The list of factors of 8 and 36 is shown below.

We can observe that the common factor of 8 and 36 are 1, 2, and 4

So, the greatest common factor of 8 and 36 is 4

GCF of 8 and 36 is 4

### GCF of 8 and 36 by Long Division

- Step 1: Divide 36 by 8 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 the remainder as 0 and GCF(8, 36) is the last divisor in the division process.

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