Preheat your oven to 350 degrees Fahrenheit (175 degrees Celsius). Prepare two 9-inch round cake pans by greasing them well and lining the bottom with a circular piece of parchment paper. It's also a good idea to grease the top of the parchment paper and flour the cake pans, as well.
Add the flour, sugar, baking powder, baking soda, cinnamon, nutmeg, cloves, and salt to a large bowl and whisk them together until combined.
Add the shredded carrots to the dry ingredients and whisk them in until they're evenly distributed throughout the dry ingredients.
Measure the buttermilk and oil into a liquid measuring cup, then add the eggs. Whisk these 3 ingredients together with a fork.
Pour the wet ingredients into the dry ingredients and combine them with a rubber spatula just until no streaks of flour remain.
Divide the batter evenly between the 2 prepared cake pans and bake at 350 degrees Fahrenheit (175 degrees Celsius) for about 30-35 minutes or until a toothpick inserted into the middle of one of the cake layers comes out clean.
Remove the cakes from their pans and cool them upside down on cooling racks until they cool completely.