Greaves, a furniture maker from Shropshire, had travelled to the country on February 20 to visit friends and was last seen alive two days before he was due to turn 29 on April 7 while undertaking a solo trek from the village of Pisac.
The furniture maker was expected to return home on 10 April.
Peruvian authorities were assisted by his relatives and friends who searched the region near to the village with a helicopter and drones, reports BBC News.
As well as help from the British Embassy, a fundraising page had also been set up to aid the investigation raising £31,000.
The operation to find Greaves was also supported by the Lucie Blackman Trust, a charity founded in remembrance of the murdered British backpacker to help missing UK nationals overseas.
In a statement Greaves’ family paid tribute calling him "one of the most loveliest men you could ever wish to meet" and also an "extremely genuine and caring person".
"Our dearest Harry has been found," they said.
"It is with great sadness that we announce that his smile will no longer give such light, he will no longer give calm through his touch, and wisdom through his words.”