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Can a number have no common factors and why?

Updated: 8/17/2019
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14y ago

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When a number has no common factors with another, they are called coprime, and an infinite number of such pairs exist. They include any pair involving a Prime number, but also such pairs as 12 and 25. It is a simple matter of the two numbers not having any common factors; there is no complicated technical description or proof required.

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Q: Can a number have no common factors and why?
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