An integrated circuit containing an n-channel finFET and a p-channel finFET is formed by forming a first polarity fin epitaxial layer for a first polarity finFET, and subsequently forming a hard mask which exposes an area for a second, opposite, polarity fin epitaxial layer for a second polarity finFET. The second polarity fin epitaxial layer is formed in the area exposed by the hard mask. A fin mask defines the first polarity fin and second polarity fin areas, and a subsequent fin etch forms the respective fins. A layer of isolation dielectric material is formed over the substrate and fins. The layer of isolation dielectric material is planarized down to the fins. The layer of isolation dielectric material is recessed so that the fins extend at least 10 nanometers above the layer of isolation dielectric material. Gate dielectric layers and gates are formed over the fins.