Factoring - GCF

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

Factoring is the opposite of which property?

Back

Distributive property.

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 17x - 51 using the GCF.

Back

17(x - 3).

Front

Factor 7x + 21 using the GCF.

Back

7(x + 3).

Front

Factor -9x + 33 using the GCF.

Back

3(-3x + 11).

Front

Factor 12x - 40 using the GCF.

Back

4(3x - 10).

Front

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

Back

Identify the GCF of all the terms in the expression.

Front

If the GCF of 24 and 36 is 12, what is the factored form of 24x + 36y?

Back

12(2x + 3y).