Greatest Common Factor Expressions

Mathematical Equivalence

OFF

Carol factored 28x + 16xy as 4(7x + 4xy). Is she correct? Explain.

• Yes, 4 is the GCF.

• No, 8 is the GCF.

• No, 4x is the GCF.

• No, 4xy is the GCF.

What is the GCF?

• 24x

• 24

• 12x

• 12

Which shows the expression 6 + 15 with the GCF factored out?

• 6 (1 + 15)

• 2 (3 + 7)

• 3 (2 + 5)

• 1 (6 + 15)

Find the GCF and choose the equivalent expression.

9 + 21

• 9(1 + 3)

• 3(3+ 7)

• 7(2 + 3)

• 3(6 + 18)

Find the GCF and choose the equivalent expression.

45 + 30

• 9(5 + 4)

• 15(3 + 2)

• 2(25 + 15)

• 3(15 + 5)

Find the GCF and choose the equivalent expression.

6 + 12

• 3(2 + 3)

• 6(1 + 2)

• 3(3 + 4)

• 6(0 + 3)

Find the GCF and choose the equivalent expression.

36 + 24

• 6(6 + 4)

• 12(3 + 2)

• 2(18 + 14)

• 4(16 + 4)

Find the Greatest  Common Factor (GCF) of 14 & 22.

• 1

• 2

• 7

• 14

Find the Greatest Common Factor (GCF) of 60 and 75

• 1

• 3

• 5

• 15