Keep the Intel coolers, Intel requires returning the the original boxed heatsink with the CPU if you have to RMA it, the heatsink coolers have a SN on them matched to a corresponding number on the original Intel boxed CPU.
You need to keep the box and the heatsink that originally came with the CPU.
As far as I known AMD doesn't do this and I don't know when Intel actually started it, but its definitely 775 series.
I keep the fans, and chop them up and use them to make passive heatsinks to be used on MOSFETS/Voltage Regulators on PCs and hobby electronics. They also make good heatsinks for high power LEDs and or lasers (not the industrial type lasers lol).
I have about 50 of them in my scrap box. Some of them have very heavy chunks of copper in them that I knocked out with a hammer and screw driver. Money at the scrap yard for my next "goodie........... If you're processors are still under warranty by all means keep them. Good reminder there.