Oil/Grease Marks

I have what looks like grease marks on my car where the previous owner has left a couple of handprints around the door. Does anyone know how I could remove them? I'm thinking of trying to T-Cut them out unless someone knows of another better solution?

Any Ideas?

Thanks

autoglym tar remover on a soft microfiber cloth should remove grease with ease

I used T-Cut on it last night, didnt spend very long at all and all those horrible greasy finger marks over my 2 rear doors are gone! Really pleased with it, now considering removing the rubbing strips...