Factor a GCF

Factoring a GCF

Factoring a GCF is the reverse of distributing.

What is the GCF of the expression below?
 $12ab^2+20b$  

 $12ab^2+20b$  

The GCF is  $4b$  because both terms can be divided by  $4b$  .

Now, "undo" the distributive property by factoring out the  $4b$ .

In factored form,  $12ab^2+20b\ =\ 4b\left(3ab+5\right)$  

Check your work by distributing.  $$4b\left(3ab+5\right)$$ 

Multiple Choice

factor: 2x + 4

• 2(x + 2)

• 2(x + 4)

• 4(x + 4)

• 4(x + 2)

Multiple Choice

What is the GCF of 18 and 45?

• 3

• 12

• 9

• 6

Multiple Choice

Factor: 63+45p

• 9(7+5p)

• 5(9 +7p)

• 9p(7 + 5p)

• 7(9+ 5p)

Multiple Choice

Factor: -6r+6

• 6(r - 1)

• -6r(r + 1)

• -6(r - 1)

• -6(r + 1)

Multiple Choice

24x² + 30

• 6(4x² + 5)

• 6x(4x + 5)

• 2(12x² + 15)

• 2x(12x + 15)

Multiple Choice

What is the GCF of 6x³ and 9x?

• 6x

• 3x

• x²

• 2

Multiple Choice

Factor:

2n²-8n³

• 2n²(1-4n)

• -2n²(4n²-1)

• 2n³(10-8n²)

• 3n(1-4n)

Poll

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Fill in the Blanks

What is the GCF of 24 and 56?

Multiple Choice

What is the GCF 7x² and 14x?

• 7

• 7x

• 14x

• 3x

Multiple Choice

factor: 6x²y - 18xy²

• 6(x - 3y)

• 6xy(x - 3y)

• 6xy²(x - 3)

• 6x²y(3y - 1)

Multiple Choice

factor: 15x⁴ + 20x³ - 25x

• 5x²(3x² + 4x - 5)

• 5x(3x³ + 4x² - 5x)

• 5x(3x³ + 4x² - 5)

• 5(3x⁴ + 4x³ - 5x)

Multiple Choice

Factor:

p² - 14p

• p(1 - 14)

• 2p(p - 7)

• p²(1-14)

• p(p - 14)

Multiple Choice

Find the GCF of 64 and 144

• 8
• 6
• 16
• 2

Poll

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