GCF Algebra I

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor they have in common.

Front

What is the GCF of 15 and 25?

Back

5

Front

Factor the expression: 15x³ + 25x²

Back

5x²(3x + 5)

Front

What is the GCF of 27 and 70?

Back

1 (since they have no common factors other than 1)

Front

Factor the expression: 24a²b⁴ - 20a³b + 28a⁴b²

Back

4a²b(6ab² - 5a + 7a²)

Front

What is the GCF of 56 and 8?

Back

8

Front

Factor the expression: -25a³b⁵ - 15ab³ + 20a²b²

Back

-5ab²(5a²b³ + 3b - 4a)

Front

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

Back

3

Front

Factor the expression: 56a³ - 8a

Back

8a(7a² - 1)