Kitiara :
... i7 6700K ... I had 3470 before ... standard intel cooler.
Kitiara,
On behalf of Tom's Moderator Team, welcome aboard!
The i7 6700K is 91 Watts TDP (Thermal Design Power), but it doesn't include a stock cooler; it's sold separately, and is a 130 Watt TDP cooler. Your posts suggest that you repurposed the 95 Watt TDP cooler from your 77 Watt TDP i5 3470. If this is the case, the cooler is inadequate according to Intel's specifications. If your local PC shop didn't make you aware of this and offer to sell you a proper cooler, then they were either negligent or incompetent.
i7 6700K - https://ark.intel.com/products/88195/Intel-Core-i7-6700K-Processor-8M-Cache-up-to-4-20-GHz-
i5-3470 - https://ark.intel.com/products/68316/Intel-Core-i5-3470-Processor-6M-Cache-up-to-3-60-GHz-
Although using your old cooler is most definitely problematic, it doesn't entirely account for such high temperatures. It's very likely that your stock cooler has popped a push-pin loose from the motherboard, which is a very common problem. This causes poor contact pressure between the cooler and the CPU, resulting in high temperatures in BIOS, as well as in Windows at idle, and especially at 100% workload.
You can troubleshoot this problem by pushing firmly on each corner of the cooler for about 30 seconds while watching your load temperatures. When you see a significant drop, you've found the loose push-pin.
The push-pins can be deceivingly tricky to get them fully inserted through the motherboard and properly latched.
(1) To re-seat a single loose push-pin, rotate the latch mechanism in the direction of the arrow counterclockwise 90° then retract the pin by pulling upward. Rotate the latch clockwise 90° to reset the pin, but do NOT push on the latch yet.
(2) To get the pin fully inserted through the motherboard, push only on the leg, NOT on the top of the latch.
(3) While holding the leg firmly against the motherboard with one hand, you can now push on the top of the latch with your other hand until the latch clicks.
(4) If you're re-seating the entire cooler, then be sure to latch the pins across from one another, rather than next to one another. Use an "X" pattern, so as to apply even pressure during installation.
Intel Stock Cooler Installation -
https://www.youtube.com/watch?v=5qczGR4KMnY
If properly installed, as long as you don't put much load on your 6700K, the old cooler will serve temporarily. However, I strongly urge you to replace it with a decent aftermarket cooler that uses proper fastening hardware with a backplate.
Once again, welcome aboard!
CT