How to Find the Highest Common Factor: Prime Factor Decomposition Method

The video tutorial explains the concept of the Highest Common Factor (HCF), demonstrating how to find it using factor lists and prime factor decomposition. It provides examples with numbers 12 and 18, 27 and 90, and 48 and 180, illustrating different methods including using index form. The tutorial concludes with a recap of the methods and emphasizes the importance of following the process to accurately determine the HCF.

Explain the process of prime factor decomposition.

What is the highest common factor of the numbers 27 and 90?

How do you identify shared prime factors when finding the HCF?