It's interesting the HP can't see the drive anymore. Does the Mac see the drive?
The HP should see the drive unless it's formatted as HFS+ (Mac OS Extended), as it can read FAT32 (and other FAT variants) and NFTS. And if it's formatted as HFS+ the Mac would have no trouble seeing it (though it raises the question about how the drive got into that state :-) ).
And, as noted, however it's formatted the Mac should see it--it just won't be able to write to it if it's formatted HFS+.
Interesting enough, I had one external drive hooked to a Windows machine that ended up with a corrupted NFTS filesystem that Windows blew up on each time I tried to access the drive on a Windows machine--but the Mac could read it without an issue :-) . So we got the data off on the Mac and then copied it back to a Windows network share (weird data recovery, but it worked so I wasn't complaining).