Review Factoring GCF

Front

What is the GCF (Greatest Common Factor)?

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 or more terms?

Back

To find the GCF, list the factors of each term and identify the largest factor that appears in all lists.

Front

What is the GCF of 24 and 36?

Back

The GCF of 24 and 36 is 12.

Front

What is the GCF of the terms 24x^3 and 36x^2?

Back

The GCF is 12x^2.

Front

Can a polynomial be factored if it has no common factors?

Back

No, if there are no common factors, the polynomial cannot be factored using GCF.

Front

What is a common factor of 12x and 27?

Back

The common factor is 3.

Front

How do you factor a polynomial using GCF?

Back

To factor using GCF, identify the GCF of the terms and factor it out, rewriting the polynomial as a product.

Front

Factor the expression -9x + 33 using GCF.

Back

The factored form is 3(-3x + 11).

Front

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

Back

The GCF is 2n^2.

Front

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

Back

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