Ahmadi told jurors he left Iran because he was working for a Kurdish opposition party and was being looked for by the country’s secret police.
Egyptian national Alshafe, a former carpenter, said he came to the UK for a better life.
His asylum application had been refused the night before the rape, the trial heard.
The pair arrived in the country in 2025, while Al-Danasurt came the year before.
Holly Morton, from the Crown Prosecution Service, thanked the victim for her bravery in reporting what happened.
“None of us can begin to imagine what the woman went through that night,” she said.
The men are due to be sentenced on 15 July.