How do I change hard drive file system outside of Windows?

Solution
Usually, yes. Or connect the hard disk to another computer with working windows. But the easiest way would be to boot any recent linux distribution via usb stick and format to fat32 from there.

Can you link me to a tutorial?
 
Sure. This is the software you need to create linux bootable USB (and has online tutorial as well):

http://www.pendrivelinux.com/yumi-multiboot-usb-creator/

Just make sure you also download a recent linux .iso image (such as Ubuntu or Mint, get 32 bit version, will be more than adequate) and store it somewhere on your hard drive, YUMI will ask for it.