There is an extension available, at least in Firefox, which I use.
Facebook Container isolates your Facebook activity from the rest of your web activity in order to prevent Facebook from tracking you outside of the Facebook website via third party cookies.
Which website features will not function?
Because you will be logged into Facebook only in the Container, embedded Facebook comments and Like buttons in tabs outside the Facebook Container will not work. This prevents Facebook from associating information about your activity on websites outside of Facebook to your Facebook identity.
In addition, websites that allow you to create an account or log in using your Facebook credentials will generally not work properly. Because this extension is designed to separate Facebook use from use of other websites, this behavior is expected.
What does Facebook Container NOT protect against?
It is important to know that this extension doesn’t prevent Facebook from mishandling the data that it already has, or permitted others to obtain, about you. Facebook still will have access to everything that you do while you are on facebook.com, including your Facebook comments, photo uploads, likes, any data you share with Facebook connected apps, etc.
Rather than stop using a service you find valuable, we think you should have tools to limit what data others can obtain. This extension focuses on limiting Facebook tracking, but other ad networks may try to correlate your Facebook activities with your regular browsing. In addition to this extension, you can change your Facebook settings, use Private Browsing, enable Tracking Protection, block third-party cookies, and/or use Firefox Multi-Account Containers extension to further limit tracking.
What data does Mozilla receive from this extension?
Mozilla does not collect data from your use of the Facebook Container extension. We do receive the number of times the extension is installed or removed. Learn more
Other Containers
Facebook Container leverages the Containers feature that is already built in to Firefox. When you enable Facebook Container, you may also see Containers named Personal, Work, Shopping, and Banking while you browse. If you wish to use multiple Containers, you’ll have the best user experience if you install the Firefox Multi-Account Containers extension. Learn more about Containers on our support site.