I think if you watched the Film and show you'd see the only major thing they have in common is being set in a Prison.
The majority of the film is actually about living in prison not escaping, while the Series is all about escaping. The main Character in the film is wrongly convicted and sent to prison while in Prison Break the main Character actually gets himself sent to prison so he can break his brother out.
I think that in Prison Break Michael Scofield does make friends with the Warden and guards to help with the escape, In the Shawshank-Redemption Andy doesn't have much choice, he's approached by the Warden and not given much option but to do the books.
Also a major difference is the time line The escape in Prison Break only takes a few weeks/months, in Shawshank it happens over years
Just some points there are lots of other differences.