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An HCF is the product of any common prime factors of two numbers. If two numbers have no common prime factors, then the HCF will be 1.

For example, 10 and 21. The prime factors are 2x5 and 3x7. There is nothing in common, and so the HCF of 10 and 21 is 1.

Two consecutive numbers will always have the HCF of 1.

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Q: What numbers have an HCF of 1?
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