# What is the GCF of 45 and 63?

Greatest Common Factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.

## Answer: GCF of 45 and 63 is 9

Two methods to find the GCF of 45 and 63 are explained below.

## Methods to find GCF of 45 and 63

- GCF of 45 and 63 by Prime Factorization
- GCF of 45 and 63 by Common Factors

### Method 1: GCF of 45 and 63 by Prime Factorization

Represent 45 and 63 as a product of its prime factors.

Prime factorization of 45 is 3 × 3 × 5

Prime factorization of 63 is 3 × 3 × 7

The common factors in the prime factorization of 45 and 63 are the repeated factors, that are, 3 and 3

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

Since the common factors are 3 and 3, the GCF of 45 and 63 is 9

### Method 2: GCF of 45 and 63 by Listing the Common Factors

There are three common factors of 45 and 63, that are, 1, 3 and 9

So, GCF of 45 and 63 is 9

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

### Therefore, GCF of 45 and 63 is 9

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