How many Greek goddesses were there?

Way too many to count, the most I have seen (including minor as well as major goddesses) 327. If you want to do the math and count them all be my guest.

There are 5 goddesses among the Olympians; Hera, Athena, Artemis, Demeter and Aphrodite. There used to be 6, but Hestia's place was taken by Dionysus. These are the major goddesses but there are hundreds of minor ones.