The present work deals with the interrelationships of blockchain technology and the new European General Data Protection Regulation, that will be intact after May 28th, 2018. The regulation harmonizes personal data protection across the European Union and aims to return the ownership of personal data to the individual. This thesis, therefore, addresses the question how this new technology that is characterized by decentralization, immutability and truly digitized values will be affected by the strict privacy regulation and vice versa. The aim of this work is to clarify whether blockchains can comply with the new regulation on the one hand and to identify how blockchain could support its compliance, on the other hand. The questions are validated through an extensive literature review and are further investigated by using a Delphi study that asks a panel of 25 renowned experts to find opportunities, limitations and general suggestions about both topics. In addition, a framework is proposed to support the assessment of privacy and related risks of blockchains.