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

In a mixing bowl, whisk together the 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 spoonfuls of dough onto the prepared baking sheet, spacing them about 2 inches apart.

Bake in the preheated oven for 10-12 minutes, or until the edges are set and the tops are slightly cracked.

Remove from the oven and let cool on the baking sheet for 5 minutes before transferring to a wire rack to cool completely.