May will remain prime minister until a new leader is chosen, likely in late July, but has relinquished control over the direction of Britain's tortuous departure from the European Union.
Brexit is still scheduled for October 31 but while her rivals thrash it out, the project remains stuck, with the only divorce plan agreed with Brussels stuck in parliament.
May took office after the 2016 referendum vote to leave the EU and has spent the past three years working on the plan, delaying Brexit twice to try to get it through, France24 reports.
