But they didn't build the factory either, even as i had the lab. On the screenshot it's 2 tiles down and 1 tile to the left from the windmill.
From the description of the factory, it needs the market, which is pretty unlucky if it's a "luck" thing mid-game.
PS: Even as i had enough food they didn't build it =( and it's not the fault on my resources. had like 30 of each.