Factoring GCF

Front

What is the Greatest Common Factor (GCF)?

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 the expression: 56a^3 - 8a

Back

8a(7a^2 - 1)

Front

Factor the expression: 10a^4 + 16a

Back

2a(5a^3 + 8)

Front

Factor the expression: 10ab^3c^2 - 15a^3bc^4

Back

5abc^2(2b^2 - 3a^2c^2)

Front

Factor the expression: ab^5 + a^3b^3

Back

ab^3(b^2 + a^2)

Front

Factor the expression: 80x^5 - 70x^2

Back

10x^2(8x^3 - 7)

Front

What is the first step in factoring an expression?

Back

Identify the GCF of all the terms in the expression.

Front

Why is factoring important in algebra?

Back

Factoring simplifies expressions and helps solve equations more easily.

Front

What does it mean to factor an expression completely?

Back

Factoring completely means breaking down an expression into its simplest factors that cannot be factored further.