The Chrome 7.0.517.41 update is aimed at fixing 10 main security flaws across various versions of the browser, but only one was rated critical.
Half of the vulnerabilities, including one for the Linux-only version of Chrome, were rated high-risk.
Two vulnerabilities were classified as medium risks and another two were listed as low security risks.
The Firefox 3.6.11 update fixes nine security vulnerabilities, include five remote code execution vulnerabilities.
The update also fixes problems with secure key exchange and SSL protocols, as well as two information disclosure vulnerabilities that could be used by attackers to carry out cross-site-scripting attacks.
This story was first published by Computer Weekly