The GCF is 4.
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It is: 44
220
The HCF is the largest number that both numbers can be divided by. If the HCF is 1, that would suggest that the two numbers share no prime factors. Thus, any two numbers which are coprime will have an HCF of 1. Consecutive numbers are good examples here - 15 and 16, 27 and 28, 104 and 105, all have an HCF of 1.
220 = 2 x 110 or 4 x 55 or 5 x 44 or 10 x 22 or 11 x 20. None of these have 15 as a factor, so the answer to your question is: no.
As a general rule, the product of the GCF and the LCM is equal to the product of the original numbers. That would make the answer to this problem 6240. Unfortunately, the GCF of 348 and 6240 isn't 87 and their LCM isn't 24960. Someone notated this problem incorrectly.