Your current password?
You may not be able to.
You may be able to use the account-recovery techniques offered by Google and Gmail to set a new password, but Google will not tell you your current password.
If you’re very lucky, however, you may be able to discover it somewhere else: your browser’s saved passwords.
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Google won’t tell you
A service that does security right actually doesn’t know your password — they only have data that tells them if you typed it in correctly. They are actually unable to tell you what your password is.
Even if, for some strange reason, they could tell you, they shouldn’t. The risk of revealing the password to the wrong person would simply be too great.
But my take is that anyone who can tell you your password is doing security wrong.
So what do you do if you need to find it?
If you allow your web browser to save passwords for you, it will generally be able to show the passwords it’s saved. If that includes the password to log in to, for example, your Gmail account, and it still works, then you can recover it that way.
If you’re using either Edge or Internet Explorer, click the Start button and search for “Manage Web Credentials”.
This is in the old Control Panel, and brings up a list of all the accounts Windows has saved for you.
Click on the down-arrow next to the account whose password you want to see, and more information will be displayed. This includes the username associated with the account, as well as a string of asterisks where the password would be, and a “Show” button.
Click on Show.
You’ll be asked to provide your Windows login credentials. This prevents someone from just randomly walking up to your machine and examining your passwords — you must prove you are you.
Once you do, the password will be displayed.
Other remembered passwords
Chrome, Firefox, and other browsers have similar techniques, usually found within their options or settings menus.
Of course, if you use a password vault like LastPass, it will have saved your password for you and you can examine the data therein.
If your password hasn’t been saved by one of these techniques, you will not be able to determine the current password. All you can do is follow account recovery options to set a new one.