not sure about a screwdriver?!
heat the badge up with a hairdryer to soften the glue, spread the heat.
once the badge is a bit looser, take some fishing line and use it like dental floss, in between the car and the badge which should separate the badge from the metal.
Peel off any remaining sticky pads and wipe the surface down and add protection to it (wax/sealant)
Done!