Greatest Common Factor

Front

What is the Greatest Common Factor (GCF)?

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 common factors. 3. The largest of these common factors is the GCF.

Front

What is the GCF of 12 and 16?

Back

The GCF is 4.

Front

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

Back

4x^2(2x + 3).

Front

What is the GCF of 18 and 24?

Back

The GCF is 6.

Front

Factor the expression: 15x^2 + 25x

Back

5x(3x + 5).

Front

What is the GCF of 30 and 45?

Back

The GCF is 15.

Front

Factor completely: 9y^4 - 27y^2

Back

9y^2(y^2 - 3).

Front

What is the GCF of 56 and 98?

Back

The GCF is 14.

Front

Factor out the GCF: 14g^5 - 21g^7

Back

7g^5(2 - 3g^2).