Greatest Common Factor Expressions

Find the GCF and choose the equivalent expression.

33 + 30

• 11(3 + 30)

• 3(11 + 10)

• 3(30 + 27)

• 33(1 + 3)

Find the GCF and choose the equivalent expression.

27 + 39

• 9(3 + 4)

• 3(9 + 13)

• 2(14 + 19)

• 6(4 + 7)

Factor the expression using the GCF: 10x + 35

• 4(x + 3)

• 5(x - 11)

• 2(3x + 4)

• 5(2x + 7)

• A

• B

• C

• D

What is the GCF?

• -8x

• 8

• -8

• 8x

greatest common factor of 24 and 48.

• 4

• 12

• 24

• 48

What is the GCF?

• 12

• 6

• -6

• -12

• 4

Factor each expression as a product using the GCF.

1.) 5x + 50y ​ ​ (a)  

2.) 15a + 30b ​ (b)  

3.) 60t + 15w ​ (c)  

4.) 25c + 25d ​ (d)  

• 5 ( x + 10y)

• 15 (a + 2b)

• 15 (4t + w)

• 25 (c + d)

What is the first step to writing an expression in factored form?

• Find the GCF.

• Do the Distributive Property.

• Combine like terms.

• Solve what is inside of the parentheses. 

Mathematical Equivalence

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