Ages 12–18
BrainteenAges 12–18MathsWorksheet
Highest common factor (HCF) (Core) · Practice set 1
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Find the highest common factor (HCF) of the numbers.
Curriculum links
- Common Core 6.NS.B.4: Find the greatest common factor of two numbers up to 100 and the least common multiple of two numbers up to 12.
- England NC Y6.MA.CALC.5: Identify common factors, common multiples and prime numbers.
- England NC KS3.MA.NUM.3: Use prime numbers, factors, multiples, highest common factor, lowest common multiple and prime factorisation.
- BNCC EF07MA01: Solve problems with divisors and multiples, including greatest common divisor and least common multiple.
- Programmes FR C4.MA.NC.3: Use multiples, divisors and prime numbers; decompose a number into prime factors.
Related sheets
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About this activity
What your child practises
Skills: Highest common factor (HCF) (level 2).
Applying a method step by step and checking the answer – the skills secondary-school maths tests are built on.
What’s included
- 15 questions
- An answer key you can print with the sheet or on its own
- An on-screen version with instant marking and stars
Age and school year
Made for ages 12–18. That’s Grade 7–12 in the US, Year 8–13 in England, JSS 1 – SS 3 in Nigeria and Class 7–12 in India.
How to use it
- Print it at home or school – it fits a standard A4 or US Letter page.
- Print the answer key too, so marking takes seconds.
- Play it on screen: answers are marked instantly and children earn stars.
- Write on it on a tablet or touchscreen with a finger or stylus – no printer needed.
Tips for parents and teachers
- Play it on screen for instant feedback, then print a fresh version as a timed, calculator-free check.
- Redo three of the questions a week later: spaced recall is one of the surest ways to make methods stick.
- Encourage teens to set their own target (say 12 out of 15) and track it over a few attempts.
Good to know
- Time needed
- About 20–30 minutes
- You’ll need
- A printer (or a tablet to work on screen), a pencil and an eraser
- Difficulty
- On level (Core) – pitched at ages 12–18
- Answer key
- Yes – print it with the sheet or on its own