Factoring GCF

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest positive integer that divides each of the integers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

List the factors of each number and identify the largest factor they have in common.

Front

What is the GCF of 24 and 36?

Back

The GCF is 12.

Front

What is the GCF of the terms in the expression -24m^3n^5p + 24mn^4p^2 + 4mn^5?

Back

The GCF is 4mn^4.

Front

What is the GCF of the terms in the expression -96xy - 144x - 84?

Back

The GCF is -12.

Front

What is the GCF of the terms in the expression x^5y^2 + x^2y^7z?

Back

The GCF is x^2y^2.

Front

How do you factor an expression using the GCF?

Back

Identify the GCF of all terms, factor it out, and rewrite the expression.

Front

Factor the expression -64a^4b - 96ab^3 + 8a.

Back

The factored form is 8a(-8a^3b - 12b^3 + 1).

Front

Factor the expression -84x^4 + 72xy^2 + 12xy.

Back

The factored form is 12x(-7x^3 + 6y^2 + y).

Front

What is the GCF of 18, 24, and 30?

Back

The GCF is 6.