His work focuses on the quiet corners of Dutch life. In paintings like 'Hoek van de timmermanswerkplaats' and 'Interieur van een kelder', he recorded the textures of wood and stone. Greive used a disciplined technique to capture natural light within enclosed spaces. His interiors often feature a muted colour palette that reveals small details of domestic or industrial work. This precision makes his depictions of farm interiors feel authentic rather than idealised.

Modern collectors value Greive for his honest portrayal of the nineteenth-century Dutch environment. His prints offer a window into historic trades and rural living without the sentimentality common in Victorian-era art. The architectural quality of his compositions, such as 'Gezicht op Veere', provides a sense of order and calm. These prints suit contemporary interiors that favour clean lines and historical grounding.