Factoring Greatest Common Factors

Factor using GCF or monomial factoring:

2x + 18

• 2(x + 9)

• 2(x + 8)

• 2(2x + 9)

• cannot be factored

Factor using GCF or monomial factoring:

x² - 5x

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

Factor using GCF or monomial factoring:

w³ + 3w

• 3w(1)

• w(w² + 3)

• w³(w + 3)

Find the GCF of the terms of each polynomial.

• y²

• 4y⁵

• 18y

• 18y²

What is the GCF of 18 and 45?

• 3

• 12

• 9

• 6

What is the greatest factor of 28 and 49?

• 1

• 2

• 7

• 12

What is the greatest common factor of 10b² and 10?

• 2

• 5

• 10

• 10b

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

• 4

• 8

• 1

• 3