# What is the GCF of 66 and 99?

The largest possible number which divides the given numbers exactly without leaving any remainder is called the GCF (Greatest Common Factor).

## Answer: GCF of 66 and 99 is 33

GCF of 66 and 99 is the highest number that divides 66 and 99 exactly leaving the remainder 0.

## Explanation:

We will explain the following methods to the highest common factor of 66 and 99.

- GCF of 66 and 99 by Long Division Method
- GCF of 66 and 99 by Listing the Common Factors

### Method 1: Find GCF of 66 and 99 by Long Division

The steps to find the GCF (66, 99) by long division are mentioned below.

**Step 1:** Divide 99 by 66 and check the remainder. Here, we get the remainder as 33.

**Step 2: **Make the remainder 33 as the divisor and the divisor of the above step 66 as the dividend and perform the long division again.

**Step 3: **Continue till you get the remainder as 0.

GCF of 66 and 99 will the last divisor in the process. So, the highest common factor of 66 and 99 is 33.

### Method 2: Find GCF of 66 and 99 by Listing the Common Factors

The factors of 66 and 99 are shown below.

Factors of 66: 1, 2, 3, 6, 11, 22, ** 33**, 66

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

There are two common factors of 66 and 99, that are, 1, 3, 11, and 33.

The Greatest common factor of 66 and 99 is 33.

Irrespective of the method, the solution to our question GCF of 66 and 99 is the same.