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.
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
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
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.