CPU Upgrade / Fan

Aug 2, 2018
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I currently have an I3 7100 with an Intel stock cooler. I just recently purchased an I7 6700k and it does not come with a stock cooler. Would it be okay to use the Intel stock cooler on my I7 6700k? I would just remove the thermal paste and put more on the new I7 then put the cooler down. Any suggestions? Thanks!