Factoring out the GCF

This lesson teaches how to factor out the greatest common factor (GCF) from two terms using the expression 32 plus 36 as an example. It explains how to identify the GCF by listing the factors of each number and finding the largest common factor. The lesson also covers the distributive property, showing how to rewrite a sum as a product multiplied by a sum. By factoring out the GCF, the expression is simplified, demonstrating the process step-by-step. The lesson concludes with a recap of the key points learned.

What is the greatest common factor (GCF) of 32 and 36?

• 8

• 2

• 4

• 16

Which property states that a number multiplied by a sum is equal to the sum of the products of that number and each addend?

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property

In the expression a(b + c) = ab + ac, what does 'a' represent?

• The factor

• The sum

• The addend

• The product

If 4 is factored out from 32 + 36, what expression is inside the parentheses?

• 9 + 9

• 8 + 8

• 4 + 9

• 8 + 9

What is the result of distributing 4 over the sum of 8 and 9?

• 32 + 32

• 36 + 36

• 32 + 36

• 40 + 45