Factoring Using 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

Factor 7x + 21 using the GCF.

Back

7(x + 3)

Front

Factor 18x + 30 using the GCF.

Back

6(3x + 5)

Front

What is the GCF of 28ab and 42b?

Back

14b

Front

Factor 12x - 40 using the GCF.

Back

4(3x - 10)

Front

Factor 24x - 64 using the GCF.

Back

8(3x - 8)

Front

What is the GCF of 12 and 30?

Back

6

Front

How can you check if your factored expression is correct?

Back

You can check by distributing the GCF back into the factored expression to see if you get the original expression.

Front

What is the GCF of 15 and 25?

Back

5