Greatest Common Factor Definition

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Greatest Common Factor is the highest number that divides exactly into two or more numbers.

The greatest common factor is commonly known as GCF.

The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common of the given numbers.

Let's start with an Examples

Greatest Common Factor of 12 and 16

Find all the factors of each number

Then, Circle the common factors

Finally, Choose the greatest of those

4 is the Greatest Common Factor {GCF}

What is a Common Factor

Those are numbers that crop up into 2 or more numbers

Another Example Factors of 12 and 30

Factors of 12-1,2,3,4,6 and 12

Factors of 30-1,2,3,5,6,10,15 and 30

Common Factors of 12 and 30 is 1 2 3 and 6

GCF of 12 and 30 is 6

Another Example Factors of 15 30 and 105

Factors of 15-1 3 5 and 15 {4 Factors}

Factors of 30-1 2 3 5 6 10 15 and 30 {8 Factors}

Factors of 105-1 3 5 7 15 21 35 and 105 {8 Factors}

The Common Factors of 15 30 and 105 are 1 3 and 15

Greatest Common Factor of 15 30 and 105 is 15

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