Actually - I think a lot of guys really have more of an emotional need for companionship than many women do. Of course, no one wants to stereotype, there are many exceptions.
But I think it's true that after a breakup, many guys want to rebound into another relationship right away (not always the best course) while a woman will want to take a breather. And even after being widowed (after a long loving marriage) I think men are quicker to want to remarry. Of course that's fine - I always figure that people who had a wonderful marriage will often want to spend their remaining years in another great relationship. People who spent the last 20 or 30 years being miserable with each other aren't in the same category, of course. However, it can be true that many women who are, say, in their late 70s and who have been caring for an older husband during his last years might feel a bit "liberated". They can now get together with (often-fellow-widowed) friends, do more travelling etc. Somehow women are able to do more "connecting".
Please understand that I am not talking about people who are kind of helpless after being widowed - i.e. a man who doesn't know how to turn on the stove/washing machine/vacuum, or a woman who cannot drive or write a cheque.