Manchester United's 17-year-old forward is found in 11.1 per cent of squads, having scored in successive friendlies against Leeds United and Inter Milan.
Indeed, Greenwood is the most-owned forward priced at £6.0m or under in FPL.
He is one of three cut-price strikers who have been prolific during pre-season.
He is owned by only 0.1 per cent, having been added to the game on Tuesday.
Brewster has benefited from a run of starts as Liverpool's regular front three, Mohamed Salah (£12.5m), Sadio Mane (£11.5m) and Roberto Firmino (£9.5m), have been in international action over the summer.
But managers can only select three players from each club for their 15-man squads.
And Liverpool have four of the eight most-owned players in the game.
That may lessen the appeal of Brewster and strengthen Greenwood's prospects as the go-to cut-price forward for 2019/20.