The students had traveled to the area to get a break from the flooding and power outages back home.
Officials say the hikers had set out for Indian Staircase, but didn't get there until after nightfall.
They called for help after realizing they were in trouble about 9:30 p.m. Saturday.
Rescuers found the group and used a hand line to safely guide them down the trail.
Officials said descent of the trail after dark can be "extremely dangerous."
Everyone exited safely about 2 a.m. Sunday.