actually vs really

actually and really both are adverbs.

Word	Noun	Adjective	Verb	Adverb
actually	No	No	No	Yes
really	No	No	No	Yes

As adverbs, actually and really are synonyms defined as:

actually (adverb)	really (adverb)
used to imply that one would expect the fact to be the opposite of that stated; surprisingly	used to give emphasis
in actual fact	in fact (used as intensifiers or sentence modifiers)
as a sentence modifier to add slight emphasis; as a modifier to add slight emphasis	in accordance with truth or fact or reality
at present	in actual fact