The victim was targeted in Paisley's Kilnside Road sometime between 01:00 and 04:00 on Sunday.
Police Scotland officers are viewing CCTV footage and carrying out door-to-door inquiries as part of their investigation.
They appealed for information and said there would be additional patrols put in place in the area.
A 43-year-old woman has been raped in an early-morning street attack in Renfrewshire.