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 monomials?

Back

1. Factor each monomial into its prime factors. 2. Identify the common factors. 3. Multiply the common factors to find the GCF.

Front

What is the GCF of 12 and 18?

Back

The GCF is 6.

Front

Factor the expression: 15x + 25.

Back

5(3x + 5).

Front

What is the GCF of 8a^3b^2 and 12a^2b^3?

Back

4a^2b^2.

Front

Factor the expression: 9y^2 + 12y.

Back

3y(3y + 4).

Front

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

Back

12.

Front

Factor the expression: 18x^2y - 24xy^2.

Back

6xy(3x - 4y).

Front

What is the GCF of 14m^2n and 21mn^2?

Back

7mn.

Front

Factor the expression: 30a^2b - 45ab^2.

Back

15ab(2a - 3b).