Preheat the oven to 350°F (175°C) and line a baking sheet with parchment paper.

In a mixing bowl, whisk together the dry ingredients: flour, baking soda, baking powder, cinnamon, nutmeg, and salt.

In another bowl, cream together the softened butter, brown sugar, and granulated sugar until light and fluffy.

Add the pumpkin puree, egg, and vanilla extract to the butter mixture and mix until well combined.

Gradually add the dry ingredients to the wet ingredients, mixing until just combined.

Drop rounded tablespoons of dough onto the prepared baking sheet, spacing them about 2 inches apart.

Bake in the preheated oven for 15-20 minutes, or until the edges are lightly golden.

Allow the cookies to cool on the baking sheet for 5 minutes before transferring to a wire rack to cool completely.