## RWM101 Study Guide

### Unit 2: GCF and LCM

### 2a. Find the greatest common factor and least common multiple of whole numbers

- What is the Greatest Common Factor of a set of numbers?
- What is the Least Common Multiple of a set of numbers?

A **factor** is a whole number that you can divide a given number by. When you have a set of 2 or more numbers, the **greatest common factor **is the largest number that you can divide all of the numbers in your set by. For example, the greatest common factor of 12 and 20 is 4, because 4 is the largest number that you can divide both 12 and 20 by evenly (12/4 = 3 and 20/4 = 5).

The **least common multiple **is the smallest number that a set of numbers is a factor of. If you have a set of numbers, the least common multiple is the smallest number that all the numbers in your set can be multiplied to get. For example, the least common multiple of 4 and 6 is 12, because 4 × 3 = 12 and 6 × 2 = 12. 12 is the smallest number that can be divided by both 4 and 6, making it the least common multiple.

To review, see The Greatest Common Factor and The Least Common Multiple.

### Unit 2 Vocabulary

This vocabulary list includes terms listed above that students need to know to successfully complete the final exam for the course.

- factor
- greatest common factor
- least common multiple