It wasn't uncommon a while ago to find a Windows Drive formatted under XP was unreadable under Vista or 7.
Also if you are using a Windows Machine at home and a Apple Mac at work the Apple uses a Different Partition Type and you need to install additional software on the Windows System to be able to read that Partition. If you do not install this Third Party Software you'll constantly be prompted to format the drive because the Windows System is unable to recognize the existing Partition Type and thinks that the drive is blank and unused.
Additionally is your Work PC locked down by the business? It's not impossible to believe that some Very Secure Systems will only ever be able to read external USB Media on the machine that they where formatted on or at least on the network that they where first used on. This is an attempt to prevent Data Theft from the business and if circumvented tends to lead to Immediate Dismissal with no possibility of fighting the dismissal or return to the job. It's more prevalent since Mr Manning was arrested for supposedly supplying Wikileaks with those Top Secret Documents and is an attempt to prevent it happening again. It's much easier to prevent the Leak than it is to try to fix it after the event.

If you where using a Windows System at work I would return the drive to work and try again to see if the work system can read the drive . If it can't then mostly likely you didn't use the Safely Remove Option on the Task Bar and the Partition Tables have been corrupted
unless of course there is other security involved. If you failed to use the Safely Remove Option and the drive still actually works as apposed to having dragged it's Read Write Heads across the Platters and mangling the Heads and scrapping the Covering off the Platters most times just Running Chkdsk /R on the drive will repair the Partition Tables but everything posted above also applies here.
Without more information there are way too many variables possible so the above are just generic answers to possibly provide assistance.

Col