Place eggs in a saucepan and fill with water to ½″ above the eggs. Bring water to a rolling boil over high heat. Cover and remove from heat. Let stand covered for 15-17 minutes (for large eggs).
Remove from hot water and place in a bowl of ice water or run under cold water for 5 minutes.
Once cool, peel eggs and slice in half lengthwise.
Remove yolks and place in a food processor with mayonnaise, Worcestershire sauce, mustard, garlic powder, and salt & pepper. Process until the mixture is smooth.
Gently fold in pimentos and cheese and place in a piping bag.
Pipe filling into each egg and sprinkle with paprika if desired. Chill at least 1 hour before serving.