Robsker, good comments by Steve, of course. I would add that if you already haven't things I think you should do early on (in addition to his item 1) would be:
(a)Verifying that the hum is in fact due to a ground loop, rather than being generated internally within an individual component.
(b)If it is in fact being caused by a ground loop, identifying which two interconnected components (together with their AC power wiring) comprise the loop.
Both of those things can be accomplished by a process of selectively disconnecting components from the system, and TEMPORARILY using cheater plugs (3-prong to 2-prong adapters) on the power plugs of suspected components.
If you eventually determine that the problem is due to a ground loop between two specific interconnected components, inserting a quality transformer/isolator between them, as he indicated, should resolve the problem.
BTW, and this pertains to the OP, ground loop-related noise can be present on digital as well as analog signals (assuming that the digital interconnection is electrical and not optical). In the case of a digital signal it will not manifest itself as hum, but can be a significant contributor to jitter, and therefore to harshness. Differences in the type and length of the digital cable that is involved can make a difference in the severity of that effect, although with little or no predictability.
Regards,
-- Al