Two menacing teens were busted in a wild armed Brooklyn carjacking spree late Thursday – that ended with one of them attempting to mow down a cop, police said. 

The rampage began around 7:40 p.m. when the two 16-year-olds cornered a 24-year-old man on East 16th Street near Avenue P in Homecrest, flashed a gun and tried to rob him, authorities said. 

But the quick-thinking victim took off and left them empty-handed, police said.

The relentless pair ran off toward East 15 Street and Avenue O, where they approached a 23-year-old man with a gun and yanked him from his Toyota Camry, police said. 

They took off in the stolen car, but didn’t make it far before crashing, according to police. 

One menace was arrested, but the other ran off – and approached a 54-year-old woman standing outside her Toyota RAV-4 on Kimball Street near Avenue T, authorities said.

He hopped behind her wheel and drove off toward East 100 Street and Avenue K, police said. 

Cops eventually caught up to the carjacker around 8:40 p.m. and tried to stop him by blocking the street, but he drove up onto the sidewalk at a cop – who then fired a shot at the RAV-4, according to police. 

The teen wasn’t hit and kept driving until he crashed at Pennsylvania and Wortman avenues – where cops finally slapped cuffs on him.

One of the madmen was charged with criminal possession of stolen property and obstruction of governmental administration, while the other faces two counts of robbery, according to the NYPD. 

It was not immediately clear which of the two attempted to hit the officer.

The NYPD’s Force Investigation Division is probing the incident.