I assume it is your game and not your whole PC that crashes, right?
Use Riva Tuner Statistics Server with its OSD for monitoring. It ships with the MSI Afterburner. You can monitor both temps with it.
What are your specs? Any of it overclocked?
EDIT: The Afterburner can even log all the data monitored so that you can review it after a crash.
It’s a custom build with handpicked parts. But I feel like I’m cluttering up the thread a bit, so let’s give it some breathing room. GZ works for me now, hopefully it stays that way 
Played today for 6h as a client with 2 friends. Had just 1 crash, and it was right after entering the room with computer in a yellow house in the mission “a wrench in the works”.
Tomorrow I’ll try playing on my own… maybe the game will unclog itself 
I didn’t have much crashes prior to the new dlc update yesterday, but I had around 10 or so crashes while trying to complete the dlc achievements from yesterday & today. I’m playing GZ on xbox one.
I have in every game their 2-5 mines and all ! But all same I yesterday connected to another player and all became normally on 10 mines only then again collapse game!
I was really optimistic - after destroying 3 harvesters, 4 tanks and some lesser machines in farmlands (level 20, 0 rivals) nothing bad happened. But after fasttravelling to archipelago and killing one lonely runner - crash 
Just entered the game ! URAA 7 level of earned playing on 5-10 mines in game! Played 10min and all game crash! Polazil on bunker released killed 3 flyer and 3 jumper with rifles then turned his and all kaput! the game crash! but he sent the report on request! I sent the report. I play on PC!
We’ll be waiting ! Hope and believe! That’s how to find out now when the update and when repaired! Every day go already sick and tired! And so all without changes!
These crashes are happening on Xbox, PS4, and PC Windows 10 and 7, so moving to Windows 10 is likely not going to solve it and could potentially introduce a slew of other issues which would not be worth it for one game known to be unstable on all platforms and configurations at this time.
@SkEyE Except that Windows 7 is end of life next month?
More generally I would say the crashes are something rotten in the code base. My system is very stable in general and I have been running heavy computational loads on both CPU and GPU at the same time without problems.
For me the crashes are usually in multiplayer games when I play as guest but also had a few when I was host. Sent crash reports with small notes every time to help debugging it. I haven’t found a pattern yet, they seem fairly random when it comes to locations and actions taken.
Yes! I found the entrance to the cave! 
Killed two ticks, awww I crashed, ok it happens now and then, Load game back up go back to the church, start clearing out the locals, crash again, and a third time, you get the idea, I have never had so many issues with crashing before the dlc.
Xbox one/Xbox one X (I have game on both) have issues on both.
And the fact that after the collapse of the game is sent a report that does not help?
times 20 sent! Уже наверное! Если не больше
Это первая ошибка!
Подпись проблемы:
Имя события проблемы: BEX64
Имя приложения: GenerationZero_F.exe
Версия приложения: 0.0.0.0
Временная метка приложения: 5dd58958
Имя модуля с ошибкой: StackHash_56f5
Версия модуля с ошибкой: 0.0.0.0
Модуль отметка времени с ошибкой: 00000000
Смещение исключения: 00000001e7901fd4
Код исключения: c0000005
Данные исключения: 0000000000000008
Версия ОС: 6.1.7601.2.1.0.768,3
Код языка: 1049
Дополнительная информация 1: 56f5
Дополнительная информация 2: 56f50057683cdbfd654c11c2adb3bbee
Для получения дополнительной информации, 3: 11 e5
Дополнительная информация 4: 11e55f3ceaa742af752d4088e4931316file
And here is the second!
file:///C:/Users/Alexey/Desktop/crashrpt.xml
OK, I fixed it…
I simply reinstalled the game and did a registry clean with ccleaner 
Played for about 20-35min and 2 rivals spawned 
I’m glad you sorted that out - I was playing last night and every ten minutes something popped up to say that you were playing GZ and I thought, “Funny! What can she be doing between times?” That’s what it was. Registry clean, eh? That might be a good idea. I’ve had crashes recently, but never before…
I wouldn’t expect the registry having anything to do with it, but glad you fixed it!
Registry scans, disk scans, memory scans, system file check, Visual C, .NET, DirectX verifications, driver scans, updates, roll backs, reinstalls, new hardware, none of that and much more don’t stop the crashes for me.
So to confirm the ENDLESS CRASHING HAS NOT STOPPED!
There is one very interesting change that I wasn’t too sure about right after the Alpine update, but at this point after several dozen crashes (playing the game remains pointless for me as all ammo/health packs are used up getting into a place and then I crash losing all progress), before the Alpine update the game would crash without Crash Reporter catching it at least 2/5ths of the time. I have not had one crash since that update that bypassed CR. As I’ve said, it’s been several dozen at this point so based on pre-Alpine update there would have been a 99% chance there would have been un-caught crashes by now.
But again, my purchase continues to be unusable due to ubiquitous random crashes happening at literally any time during any action in-game including doing nothing but standing there.