# What is the GCF of 36 and 99?

GCF of two numbers 36 and 99 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 36 and 99 is 9

Let us find GCF of 36 and 99

## Explanation:

The greatest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder.

- GCF of 36 and 99 by Prime factorization
- GCF of 36 and 99 by Listing the common Factors

### Method 1: Prime Factorization To Calculate GCF of 36 and 99

In this method, we represent 36 and 99 as a product of its prime factors

Prime factorization of 36 is 2 × 2 × 3 x 3

Prime factorization of 99 is 3 × 3 × 11

Common factor = 3, 3

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

GCF is 3 × 3 = 9

### Method 2: Listing Method To Calculate GCF of 36 and 99

In this method, we list all the factors of 36 and 99, then identify the common factors.

Factors of 36: **1,** 2, **3,** 4, 6, **9,** 12, 18, 36

Factors of 99: **1,** **3,** **9,** 11, 33, 99

The highest among all the common factors is 9.

Therefore GCF (36, 99) is 9

Irrespective of the method, the solution to our question GCF of 36 and 99 is the same.