Preheat your oven to 350°F (175°C) and prepare a loaf pan with parchment paper or grease it well.

In a large mixing bowl, whisk together the eggs, Greek yogurt, and melted butter or coconut oil until smooth and creamy.

Add baking powder, salt, and xanthan gum to the wet mixture, gently mixing until well incorporated.

Pour the thick batter into the prepared loaf pan and smooth the top evenly.

Bake in the preheated oven for 35–45 minutes until golden brown; a toothpick should come out clean.

Remove from oven, cool in the pan for 10 minutes, then transfer to a wire rack to cool completely before slicing.