Where was the "Facts of life" sitcom filmed
at? What building did they use for Eastland
and Edna's edibles?

I think it was filmed in Hollywood......I think....LOL.....just watch the end credits......

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Mr. Bradley: .....and that girls is the thrill of victory!

Tootie: Or the agony of DA FEET!

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(Tootie starts rambling)

Natalie (thinking): I am going to nail her mouth to the floor. I can picture it now there'd be a spike through her tongue, but the lips would still be moving. She'd just keep whining on and on about how she'd never do that to me because she's my best friend. And if it made me feel guilty about nailing her mouth to the floor than she's glad I did it and......
(stops and realizes everyone's looking at her)

Yeah, I think in the early years I remember it saying it was filmed at someplace called Metromedia in Hollywood (I've never heard of it, but that's what it said) and in the later years it was filmed at Universal Studios Hollywood. It wouldn't have been shot IN any of those buildings, usually they do these things called "establishing shots" showing the outside of buildings or wherever it is you want the audience to think it takes place, then the rest is just sets built on sound stages.