And honestly even you backup the data it's still useless because if you back up the system files or all files of your bitcoin wallet you can't just install it on other smartphones. It is not just the same to the desktop wallet and backup only wallet.dat and you can import wallet.dat into other laptop or desktop.
If you have a broken Samsung Galaxy S4 the only way that you can get your bitcoin out from your broken Samsung s4 is to fix the LCD. LCD price is around $10=$25
as a technician, I can buy LCD around that price, but I don't know if you are customers maybe above the price.
Regarding factory reset, you cannot perform the hard reset or factory reset because android recovery has menu option to choose if what you wanted to do with your phone.
So, I think your files and data still exist on your phone. The only way you can do right now is to fix your LCD. Just fix your phone if you think its worth it. if you hold a large amount of bitcoin you must fix it and transfer your bitcoin to your new wallet.
Guys GOOD TIMING
I have already received my lcd from China and i now need time to repair this phone..
I then have to dump all the memory from my phone to my computer first. How to do it best way??
But I do not understand what you are writing at the moment.
How can I send bitcoins to an address if I do not have them? Wallet (with my bitcoin gift) has been erased with a hard reset and the only option is to restore data with a recuva program.