Greatest Common Factor

Greatest Common Factor

Prepared by: Chevrolene L. Caisip

What is Greatest Common Factor?

• It is the largest common number among the factors of the given pairs of numbers.

• We have different ways in getting the GCF of the given numbers: Listing Method, Factor Tree, and Continuous Division.

Example:

Sara has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color of flower in each bouquet. What is the greatest number of bouquets she can make?

Listing Method

• list all the factors of the given numbers.

• Look for the common factors.

Fill in the Blanks

List all the factors of 16.

Fill in the Blanks

List all the factors of 24.

Listing Method

• 16 = 1, 2, 4, 8, 16

• 24 = 1, 2, 3, 4, 6, 8, 12, 24

• If we will compare the list of factors of 16 and 24, we can identify the common factors.

• GCF is the highest common factor that appears on the list.

• The GCF of 16 and 24 is 8.

Multiple Choice

What is the GCF of 9 and 18?

• 3

• 6

• 9

• 18

Multiple Select

Check all the common factors of 9 and 18

• 1

• 2

• 3

• 9

• 18

Multiple Choice

What is the GCF of 15 and 60?

• 1

• 5

• 15

• 60

Multiple Select

All are common factors of 15 and 60 except from?

• 2

• 3

• 5

• 6

• 15

Multiple Choice

What is the GCF of 28 and 63?

• 7

• 9

• 14

• 28