Factoring GCF

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest positive integer that divides all the given numbers 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 that appears in both lists.

Front

What is the GCF of 12 and 18?

Back

The GCF is 6.

Front

What is the GCF of 24, 36, and 60?

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

How do you factor out the GCF from an expression?

Back

Identify the GCF of the terms, then divide each term by the GCF and write the expression as the GCF multiplied by the resulting expression.

Front

Factor the expression -10xy^9z + 8y^3z^5.

Back

The factored form is 2y^3z(-5xy^6 + 4z^4).

Front

What is the GCF of the polynomial 11(x - 3) + 22(x - 3)^2 + 55(x - 3)^5 + 66(x - 3)^4?

Back

The GCF is 11(x - 3).

Front

What is the GCF of the coefficients in the expression -64a^4b - 96ab^3 + 8a?

Back

The GCF of the coefficients is 8.

Front

How do you determine the GCF of variables in an expression?

Back

Take the lowest power of each variable that appears in all terms.