# What is the GCF of 18 and 33?

GCF (Greatest Common Factor) of two numbers is the highest possible number which divides the two numbers completely without leaving any remainder.

## Answer: GCF of 18 and 33 is 3

We will explain two methods to find the GCF of 18 and 33

## Explanation:

The two methods that we are using to find GCF of 18 and 33 are shown below.

- GCF of 18 and 33 by Prime Factorization
- GCF of 18 and 33 by Listing the Common Factors

### Method 1: GCF of 18 and 33 by Prime Factorization

Represent 18 and 33 as a product of its prime factors.

Prime factorization of 18 is 2 × 3 × 3

Prime factorization of 33 is 3 × 11

The common factor in the prime factorization of 18 and 33 are 1 and 3

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

Since the common factor is 3, the GCF of 18 and 33 is 3

### Method 2: GCF of 18 and 33 by Listing the Common Factors

Factors of 18 and 33 are:

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 33: 1, 3, 11, 33

The common factor of 18 and 33 is 1 and 3

So, the GCF of 18 and 33 is 3

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