I have had my PC for about 3 years now and I have never replaced my thermal paste, but recently my PC has been freezing most times when I play games on Steam such as Football Manager 17
When it freezes the game stays on my screen, but I have to manually turn off my PC. After this I had checked my PC and I had figured out that my CPU's thermal paste had completely wore off and was not sticking to my heatsink, so I was wondering if I was to apply more thermal paste and clean the CPU with rubbing alcohol would stop my PC from crashing/freezing. Also would this be freezing due to my CPU overheating because of the thermal paste drying up? Thanks 
My PC specs just in case:
Processor AMD FX(tm)-6300 Six-Core Processor
Manufacturer AMD
Speed 3.5 GHz
Number of Cores 6
RAM 8.0 GB
Video Card AMD Radeon R9 270x


My PC specs just in case:
Processor AMD FX(tm)-6300 Six-Core Processor
Manufacturer AMD
Speed 3.5 GHz
Number of Cores 6
RAM 8.0 GB
Video Card AMD Radeon R9 270x