Factoring GCF

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides all the terms in a polynomial 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 12 and 18?

Back

The GCF is 6.

Front

What is the GCF of the terms 24x and 36x?

Back

The GCF is 12x.

Front

How do you factor out the GCF from a polynomial?

Back

Divide each term of the polynomial by the GCF and write the result in parentheses.

Front

Factor the polynomial: 4x^2 + 8x.

Back

2x(2x + 4).

Front

What is the GCF of the polynomial terms: 15a^2b and 25ab^2?

Back

The GCF is 5ab.

Front

Factor the polynomial: 10xy + 15x.

Back

5x(2y + 3).

Front

What is the GCF of the terms: 18m^2n and 24mn^2?

Back

The GCF is 6mn.

Front

Factor the polynomial: 30x^3y^2 + 45x^2y.

Back

15x^2y(2xy + 3).