Factoring Out 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

List the factors of each number and identify the largest factor that appears in both lists.

Front

Factor the expression: 2n^3 + 16n + 12

Back

2(n^3 + 8n + 6)

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

Factor completely: 36ab + 20bc

Back

4b(9a + 5c)

Front

What does it mean to factor an expression completely?

Back

To express the expression as a product of its factors, with no further factoring possible.

Front

Factor the expression: 16x^2 - 32x

Back

16x(x - 2)

Front

What is the GCF of the terms 9xyz and 3xy?

Back

3xy

Front

Factor the expression: 9xyz + 3xy

Back

3xy(3z + 1)

Front

How do you check if your factoring is correct?

Back

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