Laser spectroscopy was performed on the 72,74,76,78 Ga isotopes at On-Line Isotope Mass Separator (ISOLDE) facility, CERN. Ground-state nuclear spins and moments were extracted from the measured hyperfine spectra. The results are compared to shell-model calculations, which provide a detailed probe of the nuclear wave function. The spin is established from the shape of the hyperfine structure and the parity inferred from a comparison of shell-model calculations with the measured nuclear moments. The ground states of 76,78 Ga are both assigned a spin and parity of I π = 2 − , while 74 Ga is tentatively assigned as I π = 3 − . For 72 Ga, the results are consistent with the previous I = 3 assignment.