Concept:The HCF is the largest number that divides all the given numbers exactly.Explanation:List all factors of 24, 32, and 64.Factors of 24: 1,2,3,4,6,8,12,24Factors of 32: 1,2,4,8,16,32Factors of 64: 1,2,4,8,16,32,64The common factors are 1,2,4,8.Among these, the largest is 8.Answer:8 (Option C)