There are certain vulnerabilities associated with computing hardware that attackers can exploit to launch destructive attacks which often go undetected by the existing hardware and software countermeasures. Side channel attacks (SCAs) and Rowhammer attacks (RHAs), the consequences of hardware vulnerabilities, pose significant security and privacy threats to self-contained computing components and their end-users respectively. Such attacks compromise the security of computational environments, even those with advanced protection mechanisms such as virtualisation, sandboxes or robust encryptions. In light of these security threats against modern computing hardware, we perform an analysis overview of the modi operandi of SCAs and RHAs in hardware implementation and techniques that can be used to extract sensitive data such as secret keys. We then propose various countermeasures to safeguard against these attacks.