Factoring with GCF

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

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 with GCF: 10x² - 15x

Back

5x(2x - 3)

Front

Factor with GCF: 6x² + 24x

Back

6x(x + 4)

Front

Factor with GCF: 7x + 28

Back

7(x + 4)

Front

Factor with GCF: 8x - 16

Back

8(x - 2)

Front

Factor with GCF: x² - 11x

Back

x(x - 11)

Front

What is the first step in factoring with GCF?

Back

Identify the GCF of all the terms in the expression.

Front

Why is factoring with GCF important?

Back

It simplifies expressions and makes solving equations easier.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.