Select (copy, move or delete) larger of 2 files

hi all -

how do I move (or delete) the larger of 2 files within a directory?

I have a bunch of files with same name but different extension, e.g.,  file001.gif; file001.jpg; file002.gif; file002.jpg;

I want to end up with the smallest (fewest bytes) file, only, in the directory, but making sure I have exactly 1, only, of each filename. 

file001.gif;

file002.jpg;

file003.gif;

file004.gif; etc.

cheers, and tia