GCF Factoring Practice

Front

What is the GCF (Greatest Common Factor)?

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

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

Front

Factor: 10x + 15

Back

5(2x + 3)

Front

What is the GCF of 18 and 24?

Back

6

Front

Factor out the GCF: 3x^3 + 9x

Back

3x(x^2 + 3)

Front

Factoring is the opposite of which property?

Back

Distributive property.

Front

What is the GCF of 28ab and 42b?

Back

14b

Front

What is the first step in factoring an expression?

Back

Identify the GCF of all the terms in the expression.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

Front

If the GCF of two numbers is 1, what does that indicate?

Back

It indicates that the two numbers are coprime (they have no common factors other than 1).