We present a measurement of the cosmogenic activation in the germanium cryogenic detectors of the EDELWEISS III direct dark matter search experiment .
The decay rates measured in detectors with different exposures to cosmic rays above ground are converted into production rates of different isotopes .
The measured production rates in units of nuclei/kg/day are 82 \pm 21 for ^ { 3 } H , 2.8 \pm 0.6 for ^ { 49 } V , 4.6 \pm 0.7 for ^ { 55 } Fe , and 106 \pm 13 for ^ { 65 } Zn .
These results are the most accurate for these isotopes .
A lower limit on the production rate of ^ { 68 } Ge of 74 nuclei/kg/day is also presented .
They are compared to model predictions present in literature and to estimates calculated with the ACTIVIA code .