Mastering the Highest Common Factor: From Lists to Prime Factors

How to find the Highest Common Factor (2026/27 exams) · 4:45 · Video: Cognito · Watch at the source

In short: Unlock the logic behind finding the largest number that divides into two others. This video breaks down the progression from basic listing to advanced prime factorisation, ensuring you can tackle any HCF problem on your exams.

The video provides a comprehensive guide to finding the Highest Common Factor (HCF), a core mathematical concept. It begins with the foundational method of listing all factors for two different numbers to identify the largest one they share. This approach is the primary requirement for KS3 and GCSE Foundation students.

For more advanced requirements, such as the GCSE Higher tier, the video introduces prime factorisation. This involves breaking numbers down into their prime components, identifying common factors, and specifically learning how to manage prime factors that appear multiple times in a sequence.

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