Sarah Buick, from Dundee disappeared after posting a selfie from the top of the mountain to social media at about 5am on Tuesday.
The body found – a woman’s – is yet to be formally identified, but Sarah’s family have been informed.
A police spokesman said: “There are no suspicious circumstances and a report will be submitted to the Procurator Fiscal in due course.”
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Sarah Buick, an experienced walker from Dundee, was last known to be at the summit of Ben Nevis at around 5am on Tuesday, June 22.