Factoring Using GCF

What is the Greatest Common Factor (GCF) of 18 and 12?

Mathematical Equivalence

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DEFINE FACTORING: Factoring is the process of writing an ​ (a)   as a ​ (b)   ​of (c)   !

• expression
• product
• factors
• equation
• numbers
• result
• multiplication
• problem

What does factoring require/use?

• Greatest Common Factor (GCF)

• Least Common Multiple (LCM)

• Inverse Operations

• Oder of Operations

Based on the list provided, what do you think the GCF of 12 and 18 is?

• 2

• 3

• 6

• 1

Fill in the blanks with what you think the answers should be!

ORIGINAL EXPRESSION: 18 - 12

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NEW EXPRESSION: 6(​ (a)   ) + 6(​ (b)   )

HINT: 6 multipled by WHAT gets you back to your original numbers?

• 3
• 2
• 12
• 6

What's ​ (a)   the parentheses ​ (b)   in the parentheses!

• IN
• STAYS
• OUSIDE
• MOVES
• FLIPS
• CHANGES
• NEXT TO

Select the TWO numbers that will stay inside your parentheses!

• 2

• 3

• 6

• 1

How should you check your answer after factoring to make sure it is correct?

• Use the distributive property

• Add

• Simplify

• Use inverse operations