Factoring out the GCF

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers share.

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

What is the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4.

Front

Factor out the GCF: 8x + 12.

Back

4(2x + 3).

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 out the GCF: 15x^2 + 10x.

Back

5x(3x + 2).

Front

What is the GCF of 18x^2y^3 and 24x^5y?

Back

6x^2y.

Front

Factor out the GCF: 2x^3 + 2x^2 - 6x.

Back

2x(x^2 + x - 3).

Front

What is the GCF of 30 and 45?

Back

The GCF of 30 and 45 is 15.

Front

Factor out the GCF: 5x^2y^2 + 10xy.

Back

5xy(xy + 2).