IPhone 4 (iOS 7) restoring backup

I forgot the passcode on my iPhone ( ") so I have to restore it to its factory settings using the recovery mode on iTunes. But the laptop that I will use for that is my sister's, because my laptop is still being repaired. And I've never synced my iPhone on my sister's laptop.

If I restore my iPhone to its factory settings on my sister's laptop, will I still be able to restore the back up files that I have on my laptop?

Buy it

Once the restore is complete and the greeting is on the device screen unplug the device from the computer and complete set up as nrw device. When you get your computer back you can put your back up on and sync the music back to your phone. If your computer was wiped. You will have to download your music again.

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