Both. The key word here being 'orthology'.<quoted text>
do you share chimpanzee dna or does yours and the chimpanzee's dna have similarities?
Unless you wanna be pedantic about it and claim we don't share it at all, because they own their own DNA and only you are in possession of yours.
In which case by that line of reasoning you also share NO DNA with your parents either. It's just "similar".