Some prime factorizations have repeated factors. The prime factorization of 72 is 2 x 2 x 2 x 3 x 3. The distinct prime factors of 72 are 2 and 3.
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16=2*2*2*2 There is only one distinct prime factor, that is 2.
34 has one distinct prime factor.
49 has one distinct prime factor, two altogether.
The total number of integers that are multiples of both 8 and 21 is infinite. The first few are these: 168, 336, 504, 672, 840 . . .
Yes.