But "greatly" is not a comparative like "greater". I think the question is whether "greater" can be used as an adverb. If not, should we use "more greatly"?
I believe that this sentence is incorrect grammatically. The sentence should, in fact, read as follows: The urgency to identify the potential sources of value that the computer system provides is more greatly enhanced by this fact.
Or, one could write:
The greater urgency to identify the potential sources of value that the computer system provides is enhanced by t