Factoring with 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 terms?

Back

List the factors of each term and identify the largest common factor.

Front

Factor the expression: 2n^2 - 8n^3

Back

2n^2(1 - 4n)

Front

What is the GCF of 24m^3n^5p, 6mn^4p^2, and 4mn^5?

Back

2mn^4

Front

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

Back

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

Front

Factor the expression: 56a^3 - 8a

Back

8a(7a^2 - 1)

Front

What is the GCF of 18k and 15k^3?

Back

3k

Front

What is the first step in factoring an expression using GCF?

Back

Identify the GCF of all the terms in the expression.

Front

How can you check if your factored expression is correct?

Back

Multiply the factors back together to see if you get the original expression.

Front

What does it mean to factor an expression?

Back

To express it as a product of its factors.