3, 7 and 11.
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2 composite numbers whose prime factorization have a sum of 10 are 30 (2+3+5=10) and 21 (3+7=10).
The two numbers whose sum is 58 and whose difference is 16 are 21 and 37.
The numbers are 20 and 21.
120
21 and 30 if you're only counting distinct factors. Add 25 and 32 if you're not.