# What is the GCF of 6 and 18?

It's often useful in solving math problems to be able to find the largest factor that divides two numbers. We call this as Greatest Common Factor

## Answer: GCF of 6 and 18 is 6

Two methods to find the GCF of 6 and 18 are explained below.

## Methods to calculate GCF of 6 and 18

- Prime factorization Method
- Listing the common factors method

### GCF of 6 and 18 by Prime Factorization

Let us represent 6 and 18 as a product of its prime numbers

Thus, the common factors of 6 and 18 are 2, 3

GCF is the product of the factors that are common to each of the given numbers.

GCF of 6 and 18 is 26

### Method2: GCF of 6 and 18 by Listing the Common Factors

Let's find the factors of 6 and 18

Common Factors of 6 and 18: 1, 2, 3, 6

Thus, greatest common factor is 6

GCF of 6 and 18 is 6