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 or more terms?

Back

1. List the factors of each term. 2. Identify the common factors. 3. Choose the largest common factor.

Front

What is the GCF of 18k and 15k^3?

Back

3k

Front

What is the GCF of x^5y^2 and x^2y^7z?

Back

x^2y^2

Front

Factor the expression: 56a^3 - 8a.

Back

8a(7a^2 - 1)

Front

Factor the expression: 10x^2 + 15x - 5.

Back

5(2x^2 + 3x - 1)

Front

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

Back

5x

Front

What is the GCF of 12, 15, and 21?

Back

3

Front

If the GCF of two numbers is 1, what does that indicate?

Back

The two numbers are coprime, meaning they have no common factors other than 1.

Front

What is the GCF of 24 and 36?

Back

12