# GCF of 6 and 9 Calculator

Here is a handy little GCF Calculator that you can use to find the GCF of two numbers 6, 9 i.e. 3 the largest number that divides both the numbers exactly.

Greatest Common Factor of 6 and 9 is 3

GCF(6, 9) = 3

Ex: number 1 - 1500 and number 2 - 20.

GCF of
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### GCF of 6 and 9 using Prime Factorization Method

Given Inputs are 6, 9

To find the GCF using the Prime Factorization Method you just need to list out the prime factors of both the numbers.

Prime Factorization of 6 as under

 2 6 3 3 1

Prime factors of 6 are 2,3. Prime factorization of 6 in exponential form is:

6 = 21×31

Prime Factorization of 9 is as such

 3 9 3 3 1

Prime factors of 9 are 3. Prime factorization of 9 in exponential form is:

9 = 32

Occurrences of Common Prime Factors from both the numbers 6 and 9 is 3

Therefore, GCF of two numbers 6 and 9 is 3

### GCF of 6, 9 using Factoring Method

Given input data is 6, 9

Make a list of factors for the corresponding input numbers

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Figure out the highest common factor from factors of both the numbers and that is the GCF. In this case, it is 3

Therefore, GCF of two numbers 6 ad 9 is 3

### Frequently Asked Questions on GCF of 6 and 9

1. What is the GCF of numbers 6 and 9?

GCF of numbers 6 and 9 is 3.

2. How to find GCF of 6 and 9 easily?

Take the help of GCF Calculator existing and input the numbers 6, 9 in the input field provided and tap on the Calculate Button to avail the Greatest Common Factor with detailed steps.

3. Where do I find an elaborate explanation on finding GCF of 6, 9?

You can find an elaborate explanation on finding GCF of 6, 9 on our page.