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Question contains answer. As KVA does not contain power factor. For Generator power factor depends on load so it is not mentioned in generator rating.
________________KVA=KW+Kvar_________________
as i want to know how active power will this generator give me and as you know the active power is measured in KVA.
As my point of view There is also copper losses which measure in V and iron or core losses which measure in A so that the reason A generator rating in KVA. i hope it is easy approach to understand relation of voltage and current losses.