GCF - Distributive Property

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest number 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 that appears in both lists.

Front

Find the GCF of 6 and 32.

Back

2

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

Rewrite 6 + 32 using the Distributive Property after finding the GCF.

Back

2(3 + 16)

Front

Find the GCF of 20 and 30.

Back

10

Front

Find the GCF of 18 and 24.

Back

6

Front

What is an example of using the Distributive Property?

Back

For example, 4(2 + 3) = 4*2 + 4*3 = 8 + 12 = 20.

Front

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

Back

It means the two numbers are coprime, having no common factors other than 1.

Front

Rewrite 12 + 48 using the Distributive Property after finding the GCF.

Back

6(2 + 8)