"Charlie Factory" is a shortened, informal way of referring to Willy Wonka's chocolate factory, often used in casual conversation or as a nickname.
"Willy Wonka and the Chocolate Factory" is the official title of the children's book by Roald Dahl, as well as the title of the 1971 and 2005 movie adaptations of the story.
So, whether you call it "Willy Wonka and the Chocolate Factory" or "Charlie Factory," you're talking about the same magical and delicious place!