# What is The GCF of 18 and 54

Greatest Common Factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.

## Answer: GCF of 18 and 54 is 18

## Explanation:

We can find the GCF by the following methods

- Prime factorization Method
- Listing the common factors method
- Long division Method

## GCF of 18 and 54 by Prime Factorization

Let us represent 18 and 54 as a product of its prime numbers

Prime factorization of 18 is 2 × 3 × 3

Prime factorization of 54 is 2 × 3 × 3 × 3

Common factors = 2 × 3 × 3

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

GCF is 18

### GCF of 18 and 54 by Listing the Common Factors

Common Factors of 18 and 54: 2, 3, 6, 9, 18

The greatest common factor is 18

GCF of 18 and 54 is 18