# Greatest Common Factor (GCF) Calculator

getcalc.com's Graetest Common Factor (GCF) Calculator is an online basic math function tool to calculate relative largest positive integer (highest or greatest common factor) 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 GCF for 3, 4 & 5**find GCF for 4, 5 & 6**find GCF for 2, 6 & 7**find GCF for 10, 20, 30, 40 & 50**find GCF for 5, 10, 15, 20 & 25**find GCF for 3, 6, 9 & 27**find GCF for 2, 4, 6 & 8**find GCF for 4, 8, 12 & 32**find GCF for 6, 8, 10 & 12**find GCF for 5, 10, 15, 20, 25, 30 & 35**find GCF for 2, 3, 4, 5, 6, 7, 8 & 9**find GCF for 3, 5, 7, 9, 11 & 13*

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

## What is GCF?

GCF is the short term for Greatest Common Factor, also known as Highest Common Factor (HCF) is a basic function in mathematics, generally a relative measure of largest positive integer that divides each number in a respective group of two or more numbers. It's an important & frequently used math function to reducing the fractions to the lowest terms.

The common prime factor or the product of 2 or more common prime factors between the group integers is the Greatest Common Factor of that group. The GCF becomes 1, if there is no common factor between the integers.

__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. Users can generate similar workout for more worksheet problems by using this GCF calculator.
** Example Problem & Solution** :

__Example Problem :__

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

__Solution :__

step 1 Address input parameter & values.

Integers: 4 6 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 The common prime factor or the product of all common prime factors between all integers is the highest common factor of this group of integers 4, 6, 8 and 12.

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

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