Facebook has a feature of “view friendship” between you and your friend or any other two people.
However, I wasn’t able to find that page easily enough so thought about sharing it.
To view the friendship between you and your friend on facebook, follow these steps
1. Login to your facebook profile
2. Goto friends profile wall on facebook.
3. On the right top, click the settings icon and then “see friendship” (like this image below)
This will take you to a page where you will see all the past interaction and common things between you and your facebook friend.
Now if you want to view some other peoples friendship, on the same page, there is option to enter their names on the right side. Simply enter their names and it will show you friendship between those two people!