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

In a large mixing bowl, combine the eggs, full-fat Greek yogurt, and melted butter or coconut oil. Whisk until smooth.

Add baking powder, salt, and xanthan gum or psyllium husk powder to the wet mixture. Stir until fully incorporated.

Pour the thickened batter into the prepared loaf pan, smoothing the top evenly.

Bake for 35-45 minutes until golden brown and a toothpick comes out clean.

Let the loaf cool in the pan for about 10 minutes, then transfer to a wire rack to cool completely.