In the 54th minute, Falcons' Desire Oparanozie's goal-bound shot was denied by a good save from the French goalkeeper.
Aminata Diallo extended France's lead in the 60th minute before Gauvin grabbed her second goal in the 70th minute to make it 5-0. She then completed her hat-trick with 12 minutes remaining.
The French scored the seventh goal of the game with five minutes left, following an own goal by Faith Ikidi.
Marie-Charlotte Leger then completed the rout in the And 92nd minute.
The French team had also inflicted same hefty defeat on the Black Queens of Ghana in 2017 also in an international friendly.
The last time the Super Falcons faced France was in the first group stage game at the 2011 FIFA Women’s World Cup in Germany, which France also won 1-0.