Can You Trust Your Browser With Your Passwords?
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Whenever someone tries to log into the email account be it gmail, yahoo, hotmail etc, there is a prompt that comes up saying that you should allow the browser to "REMEMBER YOUR PASSWORD", it seems convenient if you are not going to share your computer or tab with anyone however it still poses a risk especially if it is a computer that is infected with viruses it could be hacked by malicious hackers who keep sending malware through download links and email spams. It is advisable to click Never for the site to remember or not now. Sometimes when you leave your computer without locking it, someone can come and send junk pornorgraphic mails and do all sorts of crazy things like fundraising for money depending who you are and what kind of profile you hold as a person. Here is an article that will highlight more about this issue and how this application can't be trusted.
Having your Web browser remember your passwords and/or credit card details can be convenient, but it poses some security risks. How much of a risk depends on which browser you’re using, whether you sync with other devices, and whether you’re using any of the browser's extra security features. Here are the main vulnerabilities in some of the most popular browsers—Internet Explorer, Google Chrome, and Mozilla Firefox—and ways you can protect against those weak spots.
Read more from the [source] http://www.pcworld.com/article/261259/can_you_trust_your_browser_with_your_passwords_.html