Factor out GCF

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers 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

Factor out the GCF: 12x^3 + 8x^2

Back

4x^2(3x + 2)

Front

What is the GCF of 18 and 24?

Back

The GCF is 6.

Front

Factor out the GCF: 30a^2b + 45ab^2

Back

15ab(2a + 3b)

Front

What is the GCF of 56 and 98?

Back

The GCF is 14.

Front

Factor out the GCF: 9x^4 + 12x^3 + 15x^2

Back

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

Front

How do you factor a polynomial?

Back

To factor a polynomial, identify the GCF and then express the polynomial as a product of the GCF and another polynomial.

Front

Factor out the GCF: 25x^3y + 10x^2y^2

Back

5x^2y(5x + 2y)

Front

What is the GCF of 45 and 75?

Back

The GCF is 15.