This is a complete lesson on HCF, LCM & prime factor decomposition, looking at how to use prime factors of find the HCF and LCM. The lesson is designed with the new GCSE specification in mind.

- To find the highest common factor and lowest common multiple of two numbers using prime factor decomposition.

This pack is designed for GCSE higher or foundation tier students. It could also be used with Key Stage 3 students.

Included in this download are the following:

- Full lesson plan for the ‘HCF, LCM & Prime Factors’ lesson, including introduction, teaching content, individual activities, plenary and suggested support and extension activities
- Prime Factors Investigation
- Student Worksheet on HCF, LCM & Prime Factors
- Blank Venn Diagrams
- Factors, Multiples & Primes Fact Sheet
- Complete Solutions to all Questions

This is the sixth lesson in the ‘Factors, Multiples & Primes’ unit of work (foundation tier) and also the fifth lesson in the ‘Factors, Multiples & Primes’ unit of work (higher tier).

The Factors, Multiples & Primes (foundation) unit is **available as a pack** including homework activities and a unit assessment. The other lessons in the unit are:

**Lesson 1 – Integers****Lesson 2 – Factors & Multiples****Lesson 3 – Prime Numbers****Lesson 4 – Prime Factors****Lesson 5 – Common Factors & Multiples**

The Factors, Multiples & Primes (higher) unit is also **available as a pack** with homework activities and a unit assessment. The other lessons in this unit are: