Year 9 Highest Common Factor Worksheets | Printable PDFs

Year 9 Highest Common Factor worksheets for Year 9 Maths (Key Stage 3). Students aged 13–14 learn how to find the highest common factor (HCF) and lowest common multiple (LCM) of numbers using a variety of methods. The HCF is the largest number that divides exactly into two or more numbers, whereas the LCM is the smallest number that is a multiple of two or more numbers.
In year 9 students practise using prime factorisation and Venn diagrams to calculate the highest common factor and lowest common multiple. For easier questions on factors try Year 7 Factors Worksheets

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Browse Highest Common Factor Topics

HCF and LCM
Prime Factorisation



Recommended Topics:
Fractions, Function Machines and Ratio and Proportion


Common Questions about Year 9 Highest Common Factor

  1. What is the highest common factor (HCF) of two numbers?

    The HCF is the largest number that divides exactly into both numbers.

  2. Why is prime factorisation useful when finding the HCF?

    Prime factorisation shows all the factors of a number, making it easier to identify the common prime factors.

  3. How can Venn diagrams help when working with prime factors?

    Venn diagrams organise common and unique prime factors, helping to find the HCF and lowest common multiple efficiently.