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16, 18, 20, 21, 22, 24
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12 and 16 is another.
The composite numbers upto 28 are: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28.Of these the ones that sum to 28 are: 4 and 24, 6 and 22, 8 and 20, 10 and 18, and 12 and 16. And out of these pairs the ones that have a gcd of 4 are: 4 and 24, 8 and 20, and 12 and 16.So two composite numbers that have a gcd of 4 and a sum of 28 can be either: 4 and 24, 8 and 20, or 12 and 16.
They can be 16 and 24
Composite factors of 24 are 4, 6, 8, 12 and 24. Sum of composite factors = 4+6+8+12+24 = 54.
They are 24 and 15 which are composite numbers