Find the GCF and LCM using prime factorization

This video tutorial explains how to find the greatest common factor (GCF) and least common multiple (LCM) of two whole numbers using their prime factors. It covers the concepts of prime and composite numbers, demonstrates the use of factor trees for prime factorization, and clarifies common misunderstandings between factors and multiples. The tutorial provides step-by-step examples of finding the GCF and LCM for the numbers 8 and 30, as well as 18 and 27, using Venn diagrams to compare prime factors.

What is the method to find the GCF and LCM of two whole numbers using their prime factors?

Explain the difference between prime numbers and composite numbers.

How do you use a factor tree to find the prime factorization of a number?

Describe how to use a Venn diagram to find the GCF of two numbers.

What are the prime factors of 18 and 27, and how do you find their GCF and LCM?