Is there a method or plugin that will allow posts to be sortable by Facebook likes?

I’m just wondering if anyone knows of a method or plugin that I can implement that will keep track of Facebook likes within WordPress posts, and allow me to show posts in order of “most liked”?

Similar question: Top 3 posts in last week ordered by Facebook and Twitter share counts

Basically, you have to write something to get the like count and store it as metadata with the posts every so often. Then you can order based on that count.