Mr Orton’s disappearance was initially revealed by his sponsor, Pryanha, the British high-performance kayak maker.
He was believed to have been dragged out of his kayak after becoming “trapped in a recirculating feature and did not resurface”.
It was last week reported that a team of 15 kayakers travelled to Switzerland to join the search.
“Every few years we seem to lose a friend to our sport. Each loss is tough, and this one cuts deep,” James Reeves, a former world kayaking champion, wrote on social media in tribute.
“Bren Orton was an incredible human. From his teenage years, his warm smile and friendly nature shone as brightly as his kayaking skills … I was privileged to briefly mentor Bren in his early years, and then watched in awe as he rose to became one of the greatest whitewater kayakers ever.”