Preheat the oven to 350F (180C). Line the pan with parchment paper.
In a separate bowl, beat together the eggs and sugar until light in color and slightly fluffy.
Add the olive oil and mix carefully until incorporated.
Add the orange juice, orange zest, vanilla, and Greek yogurt and mix until just incorporated.
In a separate bowl, whisk together the flour, baking powder, baking soda, and salt.
Fold the flour mixture into the egg mixture and mix until combined.
Pour the mixture into the prepared pan and bake for 45-55 minutes until lightly golden in color and a toothpick placed in the center emerges cleanly.
Optional: Once the cake has cooled, sprinkle powdered sugar on top.