GCF Factoring

Front

What does GCF stand for in mathematics?

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 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: 12x + 18.

Back

6(2x + 3).

Front

What is the GCF of 24 and 36?

Back

The GCF of 24 and 36 is 12.

Front

How do you factor the expression 15x^2 + 10x?

Back

Factor out the GCF, which is 5x: 5x(3x + 2).

Front

What is the GCF of the coefficients in the expression 8a^3b - 12a^2b^2 + 4ab?

Back

The GCF of the coefficients 8, -12, and 4 is 4.

Front

How can you check if your factoring is correct?

Back

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

Front

What is the GCF of the terms in the expression 9x^3 - 3x^2 + 6x?

Back

The GCF of the terms is 3x.

Front

Factor the expression: 5x^2 + 10x + 15.

Back

5(x^2 + 2x + 3).