Preheat the oven to 375 degrees fahrenheit and line a baking sheet with parchment paper.
In a medium bowl, whisk together the gluten free all-purpose flour, cream of tartar, baking soda, and salt.
In a large mixing bowl, beat the softened butter and granulated sugar until light and fluffy. Add the eggs one at a time, followed by the vanilla extract.
Gradually mix the dry ingredients into the wet ingredients until a soft dough forms.
In a small bowl, mix the granulated sugar and ground cinnamon for the topping. Roll the dough into 1.5-inch balls, then roll each ball generously in the cinnamon-sugar mixture.
Place the balls on the baking sheet 2 inches apart. Bake for 10 to 12 minutes until the edges are set. Let cool on the pan for 5 minutes before transferring to a wire rack.