Factor GCF

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides each of the given integers 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 the expression: 56a - 16

Back

8(7a - 2)

Front

Factor the expression: 12xyz - 6xy

Back

6xy(z - 1)

Front

Factor the expression: 16xy - 24y

Back

8y(2x - 3)

Front

Factor the expression: 10abc + 35bc - 5ab

Back

5b(2ac + 7c - a)

Front

Factor the expression: 3y + 9x

Back

3(y + 3x)

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 completely?

Back

Factoring completely means breaking down the expression into its simplest form, where no further factoring is possible.

Front

What is a common mistake when factoring?

Back

A common mistake is forgetting to factor out the GCF first, which can lead to incorrect results.