The funny thing, however, is that it's more the media pinning them against each other, because Katy's got nothing but love for those ladies.
Recently, the Lady Gaga feud rumors were put to rest and now, the "Roar" singer is speaking out about Miley.
There's a lot of heavy attention on 'pop diva' right now and competition and none of us like that," she said during a Q&A in Toronto. "But I'm a huge supporter of music. .. And, of course, I had pre-ordered (Lady Gaga's) album. I bought Sky Ferreira's album. I bought Miley's. I'm interested."
"Miley's really a sweet girl and she has got some big balls," she continued. "She just doesn't care what anyone thinks."
Katy also said that while she's friends with some of the her so-called pop diva rivals, some of them are "secret mean girls," although she didn't mention any names.
So, we know she likes Gaga and Miley, but who do you think the "secret mean girls" might be?