Magnetically driven gear-pump heads and pumps are disclosed. An exemplary gear-pump head includes a housing, a magnet cup, a pump driving gear, and a pump driven gear. The housing has a pump axis and defines a pump cavity. The magnet cup extends along the pump axis and contains a driven magnet that is rotatable inside the magnet cup about the pump axis. The driven magnet comprises a first driving gear. The pump driving gear has a first gear axis, and the pump driven gear has a second gear axis. The first gear axis is parallel to but laterally offset from the pump axis on a first side of the pump axis. The second gear axis is parallel to but laterally offset from the pump axis on a second side of the pump axis. The pump gears are situated in the pump cavity and interdigitate with each other such that rotation of the pump driving gear causes a corresponding contrarotation of the pump driven gear. The pump driving gear includes a second driving gear that interdigitates with the first driving gear such that rotation of the driven magnet causes, via the first and second driving gears, corresponding rotation of the pump driving gear and contrarotation of the pump driven gear to pump liquid through the pump housing.