What is the hcf of 60 and 63?

Well, honey, the highest common factor (HCF) of 60 and 63 is 3. You see, 60 can be broken down into 2 x 2 x 3 x 5, while 63 can be broken down into 3 x 3 x 7. The highest common factor is just the highest number that appears in both factorizations, which in this case is 3.