The CNN anchor Jake Tapper discussed his last two eventful days with Mr. Colbert: Grilling the Trump adviser Kellyanne Conway in an interview that went viral, and an Axios report that Republicans were now gunning for Mr. Tapper.

COLBERT: Our president, the president of the United States, commander in chief, has called your network fake news, fraud, the worst, so biased, failing, unwatchable, a disgrace to the broadcasting industry, disgusting, phony reporting, unprofessional, bad television, and CNN can go to hell.

[LAUGHTER]

TAPPER: He certainly watches us a lot.

COLBERT: Yeah. So why are you so mean to him, Jake? If you guys just didn’t fact-check him anymore, he wouldn’t be saying these things about you.

TAPPER: It’s a good point.

COLBERT: What’s it like in the halls over there knowing that you, that the president actively doesn’t like your network. How do people feel over there?

TAPPER: [Without missing a beat] I don’t think anybody cares.