Mr France, 28, was last seen in Ravens Avenue at around 7.40pm on Saturday, March 12.
There was a possible further sighting of him reported in Heckmondwike Road, Dewsbury at around 11.15am on March 13.
Police were called to Sands Lane in Dewsbury at 11.37am yesterday morning to reports of a body spotted in the river.
Mr France’s family have been informed and enquiries in to the circumstances of his death are ongoing.
Detective Inspector Stef Wiseman, of Kirklees District CID, said: “We are keeping an open mind, however there are not believed to be any suspicious circumstances at this time, whilst we continue our enquiries to determine how the man’s body came to be in the water.
“We would like to appeal to anyone who has any information about a purple pop-up tent found located near to where the body was found, at the back of a commercial property, on Sands Lane, Dewsbury, to contact Kirklees CID via 101 quoting reference 0472 of 30 March.”