Preheat the oven to 350 degrees F. Butter and gf flour a 9-1/2” springform pan. Add to the bowl of an electric mixer the butter, sugar and vanilla and beat until light and fluffy.
Beat in eggs 1 at a time, beating after each addition. In a separate bowl, mix together flour, baking powder and salt. Add the flour mixture and the milk in alternate batches until all is blended.
Pour the batter into the prepared pan and bake for 50 minutes, or until an inserted toothpick comes out clean. Let the cake cool in the pan on a cooling rack.