Using Prime Factorizations to Find GCF + LCM

Welcome! In this series of lessons, you will learn how to use prime factorizations to find greatest common factors (GCFs) and least common multiples (LCMs).

We will start by reviewing prime factorizations. You will then learn how to identify and find factors using prime factorizations. From there, you will extend your understanding to find common factors and common multiples, and GCFs and LCMs using exponents. Finally, we will explore how to apply prime factorizations when working with variables, powers, and factorials.

These lessons are designed to help you construct your own understanding of factors and multiples using prime factorizations through problem solving. The lessons use interactive problems to guide you and give you feedback, using an approach we call vertical learning.

Hope you have fun and enjoy!

  1. Prime Factorization
  2. Finding Factors
  3. Common Factors
  4. Common Multiples
  5. GCF + LCM in Venn Diagrams
  6. Finding GCF + LCM with Exponents
  7. GCF + LCM with Variables
  8. Powers and Prime Factorization
  9. Factorials and Prime Factorization
  10. Student Notes
  11. Teacher Notes