The men abused two young girls aged between 12 and 14, from 1999 to 2001 in Rotherham, south Yorkshire, a court heard.
Basharat Dad, 32, from Rotherham was found guilty of six counts of rape, five counts of indecent assault and one count of false imprisonment.
Nasar Dad, 36, also from Rotherham, was found guilty of rape, inciting indecency with a child and false imprisonment.
Tayab Dad, 34, from Sheffield, South Yorks, was found guilty of one count of rape.
Mohammed Sadiq, 40, and Matloob Hussain, 42, also from Rotherham, were each found guilty of one count of sexual intercourse with a girl under 13.
A jury at Sheffield Crown Court took just over six hours to reach their verdicts, which were unanimous.
Temporary Detective Chief Inspector Martin Tate, who oversaw the inquiry, said: "The court heard harrowing evidence from two very brave women whose childhoods were robbed by these men.
"They were targeted, systematically groomed and subjected to horrific sexual abuse while they were young vulnerable girls, on the cusp of their teenage years.
"No child should ever have to experience what these women have had to endure and I hope that today's result offers them both some resolution after so many years of anguish.
"On behalf of the investigative team and the partnership agencies who have worked alongside us, I offer my thanks to those women for their support and courage over the last two years.
"I also extend our thanks and recognition to the victims' families and the witnesses who have played their own vital roles in bringing this case before the court and obtaining these convictions.
"As ever, we will not rest on our laurels and this case is yet a further example of our commitment to tackling child sexual exploitation and bringing these criminals before the courts."
Speaking after the verdict, lawyer Mark Langan from the CPS Yorkshire and Humberside Complex Casework Unit said: "These men have been found guilty of a catalogue of vile sex offences against two young girls.
"The girls were targeted by these men because they were naive and vulnerable.
"They were given alcohol and cannabis and intimidated into performing sexual acts.
“On one occasion one of the young girls was locked alone in a flat for hours without food, water or electricity.
"These young girls were subjected to the most appalling abuse at the hands of these men.
They have both shown extraordinary courage in coming forward and enabling us to work with South Yorkshire Police to build a strong prosecution case which resulted in the jury returning guilty verdicts on 21 out of 23 charges.
"I hope this is of some comfort to their victims, and our thoughts remain with them both."
In a hearing at Sheffield Crown Court in February last year, 36-year-old Amjad Ali of Worksop, pleaded guilty to one count of sexual intercourse with a girl under 13.
He will be sentenced with the other five at Sheffield Crown Court on Thursday, February 2.
They have been remanded in custody.