Factoring Techniques with GCF

What is a factor?

• A number that is a multiple of another number.

• A number that can be divided by another number without leaving a remainder.

• A number that is always greater than another number.

• A number that is always less than another number.

What are the factors of 12?

• 1, 2, 3, 5, 6, 12

• 1, 2, 3, 4, 6, 12

• 1, 2, 4, 6, 8, 12

• 1, 3, 5, 6, 9, 12

What is the Greatest Common Factor (GCF) of 18 and 24?

• 3

• 6

• 9

• 12

How do you simplify the fraction 18/24 using GCF?

• Divide both numerator and denominator by 6

• Divide both numerator and denominator by 9

• Divide both numerator and denominator by 12

• Divide both numerator and denominator by 3

What is the first step in factoring a polynomial?

• Find the GCF of the terms

• Combine like terms

• Identify the variables

• Distribute the terms

What is the GCF of 2 and 18?

• 2

• 3

• 1

• 6

When factoring 15y^3 and 10y^2, what is the GCF?

• 10y^2

• 5y^2

• 5y

• 15y

What is the GCF of 5z^2 and 30?

• 5

• 15

• 1

• 10

How many z's can you factor out from 5z^2 and 30?

• 1

• 3

• 0

• 2

What is the GCF of 8a^4 and 12a^2b^3?

• 2a^2

• 4a^2

• 8a^2

• 12a^2