What is the HCF of 48 and 64?

To find the HCF (highest common factor) of 48 and 64, we can use the Euclidean algorithm:

1. We divide the larger number (in this case, 64) by the smaller number (48) and find the remainder:

   64 ÷ 48 = 1 remainder 16

2. We then divide the smaller number (48) by the remainder (16) and find the new remainder:

   48 ÷ 16 = 3 remainder 0

3. Since we have obtained a remainder of 0, the HCF of 48 and 64 is the divisor used in the last step, which is 16.

Therefore, the HCF of 48 and 64 is 16.