Factoring GCF

Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor, which is the largest positive integer that divides each of the given integers without leaving a remainder.

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 10 and 25?

Back

The GCF of 10 and 25 is 5.

Front

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

Back

The first step in factoring an expression using GCF is to identify the greatest common factor of all the terms in the expression.

Front

Factor the expression: 12x + 18.

Back

The factored form is 6(2x + 3).

Front

What is the GCF of the coefficients in the expression 8x^3 + 12x^2?

Back

The GCF of the coefficients 8 and 12 is 4.

Front

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

Back

The factored form is 5y(3y + 5).

Front

What is the GCF of the terms in the expression 9a^2b + 12ab^2?

Back

The GCF of the terms is 3ab.

Front

How do you factor the expression 20x^2 + 30x?

Back

First, find the GCF, which is 10x, then factor it out: 10x(2x + 3).

Front

What is the GCF of 14, 28, and 42?

Back

The GCF of 14, 28, and 42 is 14.