But the Tour de France champion insists he shouldn’t be mentioned in the same breath.
Wiggins capped a remarkable six weeks with victory in the London 2012 time trial, his fourth gold medal to go with one silver and two bronze spread across four Games.
The 32-year-old is now Britain’s most successful Olympian in terms of medals won, not that he sees it that way.
He said: “I have a lot of appreciation for what people achieve in sport and I have a lot of heroes who I idolise.
“So to be mentioned in the same breath as the likes of Steve Redgrave and Sir Chris is something unbelievable.
“It is a matter for debate and everyone will have an opinion, but ultimately it is about gold medals and I don’t think I am the greatest.
“One thing for sure is I won’t change. I will be the same normal guy I always have been.”
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BIOGRAPHY: Victor Moses
BIOGRAPHY: Luke Shaw