Finding the Greatest Common Factor

The Greatest Common Factor (GCF) is: November 13, 2018 The Greatest Common Factor (GCF) is: The largest factor shared by two or more products

First, lets review how to find factors: November 13, 2018 First, lets review how to find factors: You can list all factors in a “rainbow” You can use a factor tree

November 13, 2018 To determine the GCF, list all factors of the product in least to greatest order. Product is 12: 1, 2, 3, 4, 6, 12 Product is 20: 1, 2, 4, 5, 10, 20

November 13, 2018 Next, identify any factors that the numbers share-these are called Common Factors Product is 12: 1, 2, 3, 4, 6, 12 Product is 20: 1, 2, 4, 5, 10, 20

The largest number that the factors share is the GCF: November 13, 2018 The largest number that the factors share is the GCF: The Greatest Common Factor for the products 12 and 20 is: Product is 12: 1, 2, 3, 4, 6, 12 Product is 20: 1, 2, 4, 5, 10, 20

To find the GCF using prime factorization-compare the prime numbers November 13, 2018 To find the GCF using prime factorization-compare the prime numbers

Then multiply common factors to get GCF: November 13, 2018 Then multiply common factors to get GCF:

November 13, 2018 Find the GCF: 2, 3, 3 2x3x3=18

Now its your turn to practice!