# What is the GCF of 33 and 44?

GCF of two numbers 33 and 44 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 33 and 44 is 11

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

## Explanation:

We can find the GCF of the numbers in many ways the commonly used methods are listed below.

- Prime factorization Method
- Listing the common factors method

### Method 1: GCF of 33 and 44 by Prime Factorization

We express 33 and 44 as a product of its factors.

Prime factorization of 33 is 3 × 11

Prime factorization of 44 is 2 × 2 × 11

Common factor = 11

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

GCF is 11

### Method 2: GCF of 33 and 44 by Listing the Common Factors

In this method, we identify the common factors from the list of all the factors of 33 and 44.

The highest among the common factors is the GCF of 33 and 44.

**1,** 3, **11,** 33 are the factors of 33.

**1,** 2, 4, **11,** 22, 44 are the factors of 44.

Common Factors of 33 and 44: 1, 11

Greatest common factor= 11

GCF of 33 and 44 is 11

Irrespective of the method, the solution to our question GCF of 33 and 44 is the same.