AQA · Mathematics · 8300
GCSE Maths: Number: common factors/HCF
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Number: common factors/HCF (Corbettmaths Video 219), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What are common factors of two numbers?
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Factors that appear in the factor lists of both numbers.
HCF stands for ?.
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Highest Common Factor
What is the highest common factor (HCF) of two numbers?
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The largest factor that appears in both numbers' factor lists.
What is the HCF of 24 and 36?
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12
What is the HCF of 14 and 21?
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7
Two ribbons of 36cm and 45cm need to be cut into equal lengths with no remainder. What is the longest possible length for each piece?
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9cm (the HCF of 36 and 45)
What is the relationship between HCF and dividing objects into equal groups?
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The HCF gives the largest size for equal groups when dividing multiple quantities with no remainder.
If two numbers have HCF of 5 and LCM that is a multiple of 12, what are two possible numbers?
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Examples: 5 and 60, or 15 and 20 (both must be multiples of 5, and their LCM must be divisible by 12)
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