Factoring by 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 multiple terms?

Back

To find the GCF of multiple terms, identify the common factors in each term and select the highest power of each common factor.

Front

What is the GCF of the terms -24m^3n^5p, 24mn^4p^2, and 4mn^5?

Back

The GCF is 4mn^4.

Front

How do you factor an expression using the GCF?

Back

To factor an expression using the GCF, divide each term by the GCF and write the expression as the product of the GCF and the resulting polynomial.

Front

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

Back

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

Front

What is the GCF of the terms 5x^2 and 20x?

Back

The GCF is 5x.

Front

Factor the expression 3x^3 + 9x using GCF.

Back

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

Front

What is the GCF of the terms 8n^3 and 2n^2?

Back

The GCF is 2n^2.

Front

Factor the expression 8n^3 + 2n^2 using GCF.

Back

The factored form is 2n^2(4n + 1).

Front

What is the first step in factoring by GCF?

Back

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