# What is the GCF of 3 and 9?

Greatest Common Factor of two numbers is the largest number that divides the two numbers exactly leaving the remainder 0

## Answer: GCF of 3 and 9 is 3

We can find the GCF by any of the following two methods.

## Methods to find GCF of 3 and 9

- Listing the common factors method
- Prime factorization Method

### Method 1: GCF of 3 and 9 by Listing the Common Factors

The factors of 3 and 9 are shown below.

The common factors of 3 and 9 are 1 and 3

Clearly, the greatest common factor is 3

So, GCF of 3 and 9 is 3

### Method 2: GCF of 3 and 9 by Prime Factorization

We will represent 3 and 9 as a product of their prime factors.

Prime factorization of 3 is 3

Prime factorization of 9 is 3 × 3

Common prime factor = 3

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

GCF of 3 and 9 is 3

Irrespective of the method, the solution to our question GCF of 3 and 9 is the same.

### Therefore, GCF of 3 and 9 is 3

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