Factoring out a GCF

Front

What does GCF stand for in mathematics?

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 first step in factoring out the GCF from an expression?

Back

The first step is to identify the GCF of all the terms in the expression.

Front

Factor the expression: 12x + 8.

Back

4(3x + 2).

Front

What is the GCF of 18 and 24?

Back

The GCF of 18 and 24 is 6.

Front

Factor the expression: 15a + 10b.

Back

5(3a + 2b).

Front

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

Back

The GCF is 3x.

Front

Factor the expression: 20m - 5n.

Back

5(4m - n).

Front

What is the GCF of the coefficients in the expression 6x^2 + 9x?

Back

The GCF of the coefficients 6 and 9 is 3.

Front

Factor the expression: 14p + 21q.

Back

7(2p + 3q).