factoring gcf

Front

What does GCF stand for in factoring?

Back

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

Front

How do you find the GCF of two numbers?

Back

To find the GCF of two numbers, list the factors of each number and identify the largest factor that appears in both lists.

Front

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

Back

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

Front

Factor the expression: 12x + 16.

Back

4(3x + 4).

Front

What is the GCF of 24 and 36?

Back

The GCF of 24 and 36 is 12.

Front

How can you check if your factored expression is correct?

Back

You can check by distributing the factors back to see if you obtain the original expression.

Front

What is the GCF of the terms 8a^3 and 12a^2?

Back

The GCF is 4a^2.

Front

Factor the expression: 15x^2 + 25x.

Back

5x(3x + 5).

Front

What is the importance of factoring using GCF in algebra?

Back

Factoring using GCF simplifies expressions and makes solving equations easier.

Front

Factor the expression: 18m + 24n.

Back

6(3m + 4n).