Preheat oven to 325°F. Line a baking sheet with parchment paper. Place the flour, cheese, butter, salt, and cayenne pepper into mixing bowl or the work bowl of a food processor. Blend well. Scrape the mixture out onto a well-floured work surface, and gather into a ball. Roll the dough to 1/8 inch thick. If dough is too sticky, refrigerate for about 15 minutes before rolling. Cut into shapes with a biscuit or cookie cutter. Gently lay crackers onto the parchment paper. Bake until crackers start to turn golden brown at the edges, 11 - 13 minutes. Cool on the sheet for about 10 minutes before removing to finish cooling on racks.