A woman claimed she was raped by a Cadillac driver she hailed for a ride home early Thursday in Brooklyn — but later recanted the whole story, according to cops.

The 23-year-old victim initially told police she hailed the black car on Utica Avenue near Prospect Place in Crown Heights around 1 a.m. and asked for a ride to her home, also in Brooklyn, authorities said.

But the woman claimed that instead of taking her home, the driver stopped the car in front of a building on Ross Street in South Williamsburg and pressed a metal object — believed to be a gun — to her back.

She told cops he forced her into the basement, where she tried to fight him off — but then he demanded that she take off her clothes and raped her, police said.

The woman said the man left after the incident, and she was taken to Woodhull Medical Center.

But sometime between the woman’s initial report and Friday afternoon, she admitted that she had fabricated the story, police said.

It was not immediately clear whether she would face charges for the false report, cops said.

Police described her as uncooperative with the investigation.