Factor by GCF

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

Factor the expression: 2x^2 - 2x - 6

Back

2(x^2 - x - 3)

Front

What is the first step in factoring by GCF?

Back

Identify the GCF of all the terms in the expression.

Front

Factor the expression: 4b^5 + 4b^3 + 16b^2

Back

4b^2(b^3 + b + 4)

Front

What does it mean to factor an expression completely?

Back

Factoring completely means breaking down an expression into its simplest factors, including the GCF.

Front

Factor the expression: 56a^3 - 8a

Back

8a(7a^2 - 1)

Front

What is the GCF of the terms 6x^5y^4, 24x^6y^2, and -36x^3y^3?

Back

6x^3y^2

Front

Factor by GCF: 17xy - x

Back

x(17y - 1)

Front

What is the purpose of factoring by GCF?

Back

Factoring by GCF simplifies expressions and makes it easier to solve equations.