Must restore phone before restoring to factory settings!

So I screwed up and didn't back up my phone before I updated my phone. My phone died before the update finished, I don't know how since it was plugged in? Now, I have to restore my phone to factory settings before I can update it. I just got back from a trip to Africa and I have a lot of photos on there that I really can't lose. Please anyone tell me how to fix this.