Any numbers that don't have common prime factors will do; for example, 23 and 32; 2x3 and 5x7, 3x5 and 2x7, etc.
Any two consecutive numbers will have no common factor, for example, 8 and 9 (the first example I gave above), or 100 and 101. However, in the second example, 101 is not a composite number.
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