In a large bowl toss ham, corn, chili powder and cheese. Heat 10-inch nonstick skillet over medium-high heat. Place one flour tortilla in skillet; layer with about 1/2 cup of the ham mixture to within 1/2 inch of edge of tortilla. Top with another tortilla. Cook over medium-high heat for 4 to 5 minutes, turning after 2 minutes, until light golden brown. Remove quesadilla from skillet and keep warm. Repeat with remaining tortillas and filling. Cut quesadillas into wedges to serve.