ŝtofo

This is the word the false-friends article sends you to. Fabriko is a factory, a building where things are made at scale, and it is one of the sharpest traps Esperanto sets for an English speaker, because fabric looks like it and is not it. The word for cloth is ŝtofo, or teksaĵo if you want to stress that it was woven. The whole list of these - aktuala, eventuala, kurioza, kontroli, larĝa and the rest - is set out in false friends, and it is worth reading once early, because almost every entry is a word English borrowed and then dragged somewhere private.

A second sense to be careful with. Ŝtofo also carries the older German meaning of matter or substance in the abstract: la ŝtofo de la rakonto is the material a story is made of, and a chemist writing older Esperanto will use ŝtofo where modern usage prefers substanco or materialo. So the word is a small trap of its own. When you mean cloth, context usually settles it; when you mean substance in a technical sense, prefer substanco.

English stuff is the same word. French étoffe gave German Stoff and, separately and much earlier, Middle English stoffe. English then generalised it to mean anything at all, which is why stuff now covers your possessions, the contents of a cupboard and the material of dreams, while the drapery sense survives only in phrases like a stuff gown. Esperanto took the German form with its narrower meaning intact.

In use. Ŝtofa is the adjective, ŝtofpeco a piece of cloth, ŝtofvendejo a fabric shop, and the fibres themselves are separate roots: silko silk, lano wool, kotono cotton, tolo linen.