# What is the GCF of 33 and 66?

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

## Answer: GCF of 33 and 66 is 33

GCF of 33 and 66 is the highest number that divides 33 and 66 exactly leaving the remainder 0.

## Explanation:

We can find the GCF by the following methods.

- GCF of 33 and 66 by Listing Common Factors
- GCF of 33 and 66 by Long Division

### Method 1: Find GCF of 33 and 66 by Listing Common Factors

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

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

The common factors of 33 and 66 are 1, 3, 11, and 33.

Clearly, the highest common factor is 33.

So, GCF of 33 and 66 is 33.

### Method 2: Find GCF of 33 and 66 by Prime Factorization

Let us represent 13 and 52 as a product of its prime factors.

- 33 = 3 × 11
- 66 = 2 × 3 × 11

The highest common factor of 33 and 66 is the product of 3 and 11, that is, 33

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