6. First-year students admitted to the university were distributed into study groups so that each group had the same number of students. Due to a reduction in the number of specialties, the number of groups decreased by 9, and all first-year students were redistributed into groups; as a result, the groups were again equal in number, and each had fewer than 30 students. It is known that there were 2376 first-year students in total. How many groups are there now?

Answer: 99.