Factor GCF (Algebra)

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers 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 24 and 30?

Back

The GCF is 6.

Front

Factor the expression: 24x² + 30.

Back

6(4x² + 5)

Front

What is the GCF of the coefficients in the expression 15x⁴ + 20x³ - 25x?

Back

The GCF is 5.

Front

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

Back

5x(3x³ + 4x² - 5)

Front

What is the GCF of the terms in the expression x⁵ + x⁴ + x²?

Back

The GCF is x².

Front

Factor the expression: x⁵ + x⁴ + x².

Back

x²(x³ + x² + 1)

Front

What is the GCF of 5x² and 20?

Back

The GCF is 5.

Front

Factor the expression: 5x² + 20.

Back

5(x² + 4)