# What is the GCF of 44 and 66?

Greatest Common Factor of 44 and 66 is the largest possible number which divides the numbers 44 and 66 exactly leaving the remainder as 0

## Answer: The GCF of 44 and 66 is 22

## Explanation:

We can find the GCF by the following two methods.

### Methods to find GCF of 44 and 66

- Long division Method
- Prime factorization Method

### GCF of 44 and 66 by Long Division

**Step 1:**Divide 44 by 66 and check the remainder.**Step 2:**Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.**Step 3:**Continue till you get remainder as 0

### GCF of 44 and 66 by Prime Factorization

We will express the numbers 44 and 66 as a product of their prime factors.

Prime factorization of 44 is 2 × 2 × 11

Prime factorization of 66 is 2 × 3 × 11

The common factors in both prime factorization = 2 × 11

GCF is the product of the prime factors that are common to the prime factorization of 44 and 66

So, GCF of 44 and 66 is 22

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

### Thus, GCF of 44 and 66 is 22

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