The easiest answer to this question is 235. Anthony West counts 232 in his 2001 census of First Folios. In 2014, a previously uncounted copy was discovered in France, and in 2016 two more came to light in Britain. But the full answer is more complicated: there are additional copies whose whereabouts aren’t currently known, and differentiating between a complete copy and a fragment of a First Folio can be tricky.
