By default, Chrome offers to save your password.
You can enable or disable this option at any time.
On your computer, open Chrome.
In the upper right corner, click Profile then Passwords.
You can also enter chrome://settings/passwords in the address bar.
Enable or disable the option Offer to save passwords.
Firefox offers by default to remember passwords.
To change your configuration :
Click on the menu button
Select the Privacy and Security panel and go to the Logins and Passwords section.
To prevent Firefox from saving usernames and passwords for all websites, clear the check box next to Ask to save logins and passwords for websites.