passwordless ssh doesn't work

On both source and target servers ensure these permissions exist:

$ chmod go-w ~/
$ chmod 700 ~/.ssh
$ chmod 600 ~/.ssh/authorized_keys
$ chmod 600 ~/.ssh/id_rsa
$ chmod 644 ~/.ssh/id_rsa.pub
$ chmod 644 ~/.ssh/known_hosts

It didn't work for me in one case where $HOME directory had 777 permission

Looking at /var/log/auth.log on my server revealed the problem: sshd was
refusing to use my public key because my home directory was
group-writable. In order to do pubkey auth, both the home directory
and the .ssh directory must writable only by the owner.

Two parts: first, turn up debugging on your ssh sever. Edit /etc/ssh/sshd_config and increase LogLevel to DEBUG. Then force your ssh server to reload it's config with killall -HUP .

That will cause the server to add much more details to your /var/log/secure and/or /var/log/auth logfiles.

Secondly (actually you cant try this first), increase the debug level on the client side. ssh in to the box with

$ ssh -vvv hostname

and that will print out lots more info about where the process is failing.

If you do turn up the debug level on your ssh server, don't forget to turn it back down when you are finished.