They are suspected of assaulting her on May 21 in Rio de Janeiro, a city stricken by violent crime and which will host the Olympic Games in August.
The authorities have promised to bring the men to justice.
"Those
who committed this heinous crime will be found, will be imprisoned and
condemned," Justice Minister Alexandre de Morais told a news conference
in Rio Friday night.
Brazil's acting president Michel Temer and other senior figures reacted with outrage.
"I condemn most forcefully the rape of the teenager in Rio de Janeiro," he wrote on Twitter.
"It is absurd that in the 21st century we should have to live with barbaric crimes such as this."
The authorities are working "to find those responsible and rigorously punish the authors of this rape and the publishing of this criminal act on social networks," he said.
