Factoring Out the GCF

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

Factor the expression: 4x + 10

Back

2(2x + 5)

Tags

CCSS.7.EE.A.1

Front

Factor the expression: 15n³ + 30n²

Back

15n²(n + 2)

Front

Factor the expression: 16t + 24

Back

8(2t + 3)

Tags

CCSS.7.EE.A.1

Front

Factor the expression: 50r + 30r⁵

Back

10r(5 + 3r⁴)

Front

Factor the expression: x² - 5x

Back

x(x - 5)

Front

What is the first step in factoring out the GCF from an expression?

Back

Identify the GCF of all the terms in the expression.

Front

Why is factoring out the GCF useful?

Back

It simplifies expressions and makes it easier to solve equations.

Front

What is the GCF of 12 and 18?

Back

The GCF is 6.