# What is the GCF of 54 and 90?

GCF (Greatest Common Factor) of two or more numbers is the greatest possible number that divides the numbers exactly without any remainder.

## Answer: GCF of 54 and 90 is 18

Lets see how to find the GCF of 54 and 90

## Explanation:

Let us find the GCF of 54 and 90 in two different methods

### GCF of 54 and 90 by Prime Factorization

Represent 54 and 90 as a product of its prime factors.

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

Prime factorization of 90 is 2 × 3 × 3 × 5

The common factors in the prime factorization of 54 and 90 are 2, 3 and 3

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

Since the common factors are 2, 3, and 3, the GCF of 54 and 90 is 2 × 3 × 3 = 18

### GCF of 54 and 90 by Listing the Common Factors

Let us list all the factors of 54 and 90

There are six common factors of 54 and 90, that are, 1, 2, 3, 6, 9 and 18

The biggest common factor among them is 18. So, GCF of 54 and 90 is 18

You can find the GCF in any of the above methods but the solution will be the same, that is, GCF of 54 and 90 is 18