Factoring by 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 of two numbers, 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

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

Back

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

Front

Factor the expression: 18x + 24.

Back

The factored form is 6(3x + 4).

Front

What is the GCF of the terms 15a^2b and 25ab^2?

Back

The GCF is 5ab.

Front

How do you factor out the GCF from an expression?

Back

To factor out the GCF, divide each term of the expression by the GCF and write the expression as the GCF multiplied by the resulting expression.

Front

Factor the expression: 30x^3 - 45x^2.

Back

The factored form is 15x^2(2x - 3).

Front

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

Back

The GCF is 4a^2.

Front

What is the significance of factoring by GCF in algebra?

Back

Factoring by GCF simplifies expressions and can make solving equations easier.