Answer:
Same browser
Explanation:
A user saves a password on a website the user logs into from a desktop. As long as the the browser used is the same and the user has saved the password on the browser, it does not matter which device the user uses, the password would be saved on the website.
Therefore same browser is important for a website to save the password logged in from any other device.
I hope the answer was helpful.
Thanks for asking.