Police Scotland began investigating after the limb was discovered on Prestwick beach on 10 June.
The force has now said it’s been “identified as those of a missing person from outside of Scotland”.
Officers in Northern Ireland also said they had identified the remains of a man found in Millisle, County Down.
However, they do not currently believe the deceased man is from Northern Ireland – and the death is not being treated as suspicious.
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“The Police Service of Northern Ireland can confirm that the body found in the Donaghadee Road area of Millisle on Wednesday May 21 has been identified,” a statement said.
“The remains were determined to be male and police are engaging with the family of the deceased.”
