The "Your tweets retweeted" page on Twitter shows which of your tweets have been retweeted, but usually it says something like "retweeted by @madeuptwitteraccount and others" is there any way to find out (a) how many people have retweeted a tweet and (b) what their twitter IDs are?
Twitter – How to find out all the users who retweeted a tweet of mine
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Best Answer
The answers so far will only give you at most 100 retweets. There is an API method that returns up to 100 entries of a cursored collection (so you can page through it to get more), though.
There's more information on the Twitter Developers site at GET statuses/retweeters/ids, though you'll also want to read their page about Using cursors to navigate collections.
Edited to add: That said, the first thread on the Developers site that surfaced in a quick google has @episod, a Twitter employee saying:
Source: how to get all retweet of a given tweet