I was after this same thing a few weeks ago and was told there is no
way to get this information from the official Twr. API as of now...

But somehow twitfave does this.

And they have an API:
http://twitfave.com/home/about/api

The portion you need is in "getting information about a single tweet"
- you need to parse "faved_by" and count.

===
Mohan Arun
www.mohanarun.com

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