Learn how to calculate (GCF) - Tutorial

How to calculate (GCF) - Definition, Example

Greatest Common Factor Definition:

The greatest common factor (GCF) is the largest factor of two numbers that factors evenly in to two or more larger numbers.

Common Factors Definition:

A factor is a part of a number and two factors multiplied together generate a product. It is nothing but the factors that two numbers have in common.

Example :

Find the greatest common factors of 24,36,48

Solution :
Step 1:

Let us find the factors of 24, 36, 48

Step 2:

Factors of 24 are 1,2,3,4,6,8,12,24

Factors of 36 are 1,2,3,4,6,9,12,18,36

Factors of 48 are 1,2,3,4,6,8,12,16,24,48

Common factors of 24,36,48 are 1,2,3,4,6,12

From 1, 2, 3, 4, 6 and 12, the greatest number is 12.

So, the Greatest Common Factor is 12

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