How to delete empty folders?

Question

linux

Good afternoon.
There is a directory with many files and folders, you need to delete files older than 15 days + then delete empty folders and subfolders. I made two scripts for this case and put them in cron.
Script No. 1 fulfills, everything is ok.
But Script #2 deletes empty folders only in the parent directory, and there is no subfolder. For example, if there is another empty folder in an empty folder of the parent directory, then it skips it.
What needs to be specified in the command so that the deletion occurs recursively?
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Script #1: find /common/"Shared Folder"/ -type f -mtime +15 -exec rm {} ;
Script #2: find /common/"Shared Folder"/ -type d -empty -exec rmdir {} ;

Answer 1

# man find
...
 -depth
    Always true. Causes descent of the directory hierarchy to be done
so that all entries in a directory are acted on before the directory
itself.

Answer 2

For example, if there is another empty folder in an empty folder of the parent directory, then it skips it.

If there is a directory in the parent directory, even an empty one, then the parent directory is not empty.

Answer 3

why two scripts, if you can do everything in one line ..
-exec rm -rf {} \;

Answer 4

rmdir must be run with the -p switch, then it deletes all parent empty directories, something like this:
Script #2: find /common/"SharedFolder"/ -type d -empty -exec rmdir -p {} ;