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