Beat eggs, sugar, and vegetable oil together in a large bowl.
Add zucchini and vanilla, then stir again.
Add whole wheat flour, salt, baking soda, and baking powder, stirring well to incorporate all.
Pour into two very well-greased 9x5x3 bread pans.
Bake at 350° for 45 minutes, or until a knife comes out clean and the bread has pulled away from the edges of the pan.
Let cool for several minutes, then run a knife around the edge and remove from pans.
Enjoy!