Factor Greatest Common Factor

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

List the factors of each number and identify the largest factor that appears in both lists.

Front

Find the GCF of 22, 33, and 88.

Back

11

Front

What is the GCF of 18k and 15k³?

Back

3k

Front

What is the first step in factoring an expression?

Back

Identify the GCF of all the terms in the expression.

Front

Factor the expression: 5ab²c¹¹ + 2bc⁵.

Back

bc⁵(5abc⁶ + 2)

Front

Factor the expression: 18b² - 9b³.

Back

9b²(2 - b) or 9b²(2 - b²) depending on the context.

Front

Factor the expression: 12j²k³ - 20hj.

Back

4j(3jk³ - 5h)

Front

What is a factor?

Back

A factor is a number or algebraic expression that divides another number or expression evenly.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler expressions (factors) that, when multiplied together, give the original expression.