Zaffar and Nadim targeted the girl while she was waiting for the bus on Alum Rock Road in Birmingham, with Zaffar asking for her number.
She declined and got on the bus – but days later the men targeted her again and persuaded her to get in the car offering her a lift to the city centre.
Police said instead Zaffar drove her to a secluded area where both he and Nadim sexually assaulted in the back of the car.
They picked up Arif before driving the teenager to the home of Nassir in Denton, where she was raped by Zaffar and Nassir.
The girl reported being taken back to a hotel room in Walsall where she was abused further by Zaffar.
She was driven to Birmingham, where Zaffar offered a friend the hotel room key and to stay with the girl – but the friend declined.
Later that evening she reported being taken back to the room where four other unknown men raped her one after another.
West Midlands Police said Arif provided false information when booking the room, but provided his name, vehicle registration and driving licence which later helped with the investigation.
Officers said they were able to identify the convicted men involved through phone use, hotel bookings, vehicle and insurance details, and automatic number plate recognition (ANPR) records.