Factoring out GCF

Factoring out GCF

By Jason Dunn

The GCF of 6x² & 18x³

​is 6x²

Factors of 6 are 1, 2, 3, 6

Factors of 18 are 1, 2, 3, 6, 9, 18

Lowest power of x is 2​

​

Multiple Choice

What is the GCF of 10x³y² and 5x⁴y?

• 10x³y²

• 5xy

• 5x³y

• 5x³y²

Multiple Choice

What is the GCF of 8abc² + 10a⁴c?

• 2abc

• 2ac

• 2abc²

• 8abc

Multiple Choice

What is the GCF of 16dun² - 40dum

• 8dun²

• 4du

• 8dum

• 8du

Fill in the Blanks

What is the GCF of 6x² - 4x - 12?

Multiple Choice

Factor out the GCF of 4x - 16

• 2(4x - 8)

• 2(2x - 8)

• 4(x - 4)

• 4(x - 16)

Open Ended

Factor out the GCF of 15a - 25.

Remember to write your answer like _(_a - _)

Multiple Choice

Factor out the GCF of 24x - 8

• 8(x - 1)

• 8(3x)

• 2(12x - 4)

• 8(3x - 1)

Multiple Choice

Factor out the GCF of 2x² + 4x

• 2(x² + 2x)

• 2x(x + 2)

• x(2x + 4)

• 2x(x + 2x)

Find the GCF in your head 6x³

(Numbers separately; lowest power of variables)

Divide all numbers by 6

Reduce all powers of x by 3​

When you reduce the power to 0, remove x​

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My Way

Canvas -> Modules -> 📒 GCF Drag & Drop

​Download & complete Powerpoint

Drag and drop to complete. Read examples if you need more explanation!

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