Finding the GCF of Numbers and Variables

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 numbers?

Back

1. List the factors of each number. 2. Identify the largest factor that appears in both lists.

Front

What is the GCF of 18 and 24?

Back

The GCF is 6.

Front

Factor the expression: 18a² - 15a

Back

3a(6a - 5)

Front

Factor the expression: 24x² + 30

Back

6(4x² + 5)

Front

Factor out the GCF from: 3x³ + 9x

Back

3x(x² + 3)

Front

What is the GCF of the trinomial 3x² - 9x - 120?

Back

The GCF is 3.

Front

Factor the expression: 15x⁴ + 20x³ - 25x

Back

5x(3x³ + 4x² - 5)

Front

What is the GCF of the coefficients 15, 25, and 35?

Back

The GCF is 5.

Front

How do you factor out the GCF from a polynomial?

Back

1. Identify the GCF of the coefficients and variables. 2. Divide each term by the GCF and write the expression as a product.