Cloud Computing is one of the latest technology. It makes many changes in industry. It is a platform which includes technology, resources and infrastructure. It is a concept of sharing resources to achieve economical benefit. It allows to store and retrieve files and folders in cloud area from anywhere in the world. In advanced, Mobile Computing is the combination of cloud Computing and Mobile devices. It has become more popular in present decades. Mobile computing is different from regular cloud computing in different levels. It allows carrying physical devices which helps in telework. This paper tries to give details about cloud and mobile computing, its architecture, services, characteristics and applications. Here a comparison for cloud computing and MCC has been given which helps the readers to understand the differences. In addition to it future research areas in cloud and MCC is discussed.