"I knew it was going to be a long sprint but I planned to go from the corner full gas and it worked out perfectly," the 36-year-old said of his victory.
New Zealander Patrick Bevin (BMC) contested the sprint but was no match for Greipel who has now won a total of seven stages on the Tour of Britain.
Bevin retained his lead in the general classification, four seconds ahead of Australia's Cameron Meyer who also finished safely in the peloton.
(Reporting by Martyn Herman; Editing by Ken Ferris)
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