Pryor compared the incident to Willy Moon and Natalia Kills' infamous meltdown on The X Factor NZ, saying: "Natalia Kills, Willy Moon, Guy Williams - the three people who lose their jobs after their first live taping."
"Your brother will be taking over the show next week after that f-bomb," joked Boyce, who apologised and cut to a commercial break, saying: "I'm sorry about that. This is a shambles."
Williams quickly took to Twitter after the show to apologise and say: "It won't happen again."
It was a disastrous start to the show's sixth season, with the comedians hoping their attempts at going live would give them "a shot in the arm".
"One of the things that really excites us and scares us is that anything can happen," Boyce told the Herald.
While there were a few awkward moments during the show, the trio, along with Laura Daniel, proved their talents lie in their pre-recorded segments.
Read more: Why Jono and Ben are switching up the show
The best bits included a riff on La La Land starring Daniel and Williams, a chat show parody featuring The Project's Josh Thomson enduring a terrible interview with Williams, as well as a hilarious prank on Pryor who thought he was interviewing Johnny Depp, only to find out it was an impersonator.
But it was let down by the f-bomb, and viewers were quick to comment on it.
The show opened with Pryor unveiling Boyce's cellphone number and asking viewers to send him messages and nude photos.