GCF

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (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

To find the GCF of two numbers, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6.

Front

Factor the expression: 15x^4 + 20x^3 - 25x

Back

5x(3x^3 + 4x^2 - 5).

Front

Factor the expression: 2n^2 - 8n^3

Back

2n^2(1 - 4n).

Front

Factor the expression: 24x^2 + 30

Back

6(4x^2 + 5).

Front

What is the GCF of 8x^2 and 4x?

Back

4x.

Front

Factor the expression: 6x^2y - 18xy^2

Back

6xy(x - 3y).

Front

What is the GCF of 30 and 45?

Back

The GCF of 30 and 45 is 15.

Front

How can you use prime factorization to find the GCF?

Back

By breaking down each number into its prime factors and multiplying the lowest powers of common prime factors.