# Greatest Common Factor (GCF) Calculator

getcalc.com's **Highest Common Factor (HCF) Calculator** is an online basic math function tool to calculate relative largest positive integer that divides each numbers in a group of two or more integers

- Find the GCF for two numbers or integers
- Find the gcd for three or more numbers or integers
- Generate step by step work for GCF worksheet problems

*find GCD for 3, 4 & 5**find GCD for 4, 5 & 6**find GCD for 2, 6 & 7**find GCD for 10, 20, 30, 40 & 50**find GCD for 5, 10, 15, 20 & 25**find GCD for 3, 6, 9 & 27**find GCD for 2, 4, 6 & 8**find GCD for 4, 8, 12 & 32**find GCD for 6, 8, 10 & 12**find GCD for 5, 10, 15, 20, 25, 30 & 35**find GCD for 2, 3, 4, 5, 6, 7, 8 & 9**find GCD for 3, 5, 7, 9, 11 & 13*

*find GCD for 9, 12, 15, 18 & 36**find GCD for 8, 12, 16, 24 & 36**find GCD for 9, 12, 15, 18 & 21**find GCD for 11, 12, 13, 14, 15, 16, 17 & 18**find GCD for 12, 16, 18 & 24**find GCD for 12, 24, 36 & 40**find GCD for 36, 54 & 84**find GCD for 24, 36 & 48**find GCD for 42, 63 & 140**find GCD for 42, 294 & 882**find GCD for 42, 45 & 48*

## What is GCF?

__Solved Example :__

Beginners or grade school students may refer the below solved example or work with step by step calculation to learn how to find what is the GCF of two or more numbers.
** Example Problem & Solution** :

__Example Problem :__

Find the GCF of 4, 6, 8, 12?

__Solution :__

step 1 Address input parameter & values.

4 5 8 12

gcf (4, 6, 8 and 12) = ?

step 2 Find the prime factors of all integer group

4 = 2 x 2

6 = 3 x 2

8 = 2 x 2 x 2 x 2

12 = 2 x 2 x 3

step 3 Take the common prime factors out from all the integers across group and multiply them to find the GCF of group of integers. The HCF is 1, if there is no common prime factors across all the integers or if any one integer in the group is a prime number.

The common factor across all integer is 2.

gcf (4, 6, 8 and 12) = 2

2 is the greatest common factor for 4, 6, 8, 12