# What is the GCF of 36 and 90?

Greatest Common Factor of two or more numbers is the greatest possible number which divides the given numbers exactly, leaving 0 as the remainder.

## Answer: GCF of (36,90):18

Two methods to find the GCF of 36 and 90 are explained below.

## Methods to find GCF of 36 and 90

- Listing the common factors method
- Long division Method

### Method1: GCF (36,90): Listing the Common Factors

Common Factors of (36,90) : 1, 2, 3, 6, 9 and 18

The greatest common factor amongst the common factors is 18

GCF (36,90):18

### Method2: GCF of (36,90): Long Division

- Step 1: Divide 90(larger number) by 36(smaller number) 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 remainder as 0

By using any of the above two methods the answer obtained would remain same.