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There are infinitely many such pairs.

For example,

suppose p, q, r and s are 4 prime numbers.

Then p*q and r*s are both composite but p*q and r*s are coprime.

And you could always mutiply either one of them by the prime number t, and maybe the other one by another r to give p*q*t and r2*s. And so on.

The smallest pair of composites is 14 and 15.

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10y ago
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8y ago

4 and 9

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Q: Which pair of composite numbers has a GCF of 1?
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