RobertGPS :
What about using toilet paper for cleaning the big part of paste (because it absorbs better than cofffee filter) and after that cofffee filter for purifying? It would rub off all little parts of the toilet paper or would't it?
It takes me only one filter to do the job.
Use alcohol, as pure as you can get.
Tear off a small piece of the filter and get most of the paste off of both surfaces.
Then tear off another piece and do some more.
The third piece should have it all clean.
When you reapply, use a small drop only. It will spread under heat and pressure.
If you use too much paste, it acts as an insulator.
If you have no coffee filters, toilet paper will work.
And, a tip....
Before you remove your cooler, run the cpu a bit to heat it up and soften the installed paste.