Answer:
16
Explanation:
The HCF of numbers is the highest common factor, which means it is the biggest number that is a factor of these three numbers.
We can find this by dividing all three numbers by very basic factors such as 2 and divide the remainder of the three numbers by another factor.
This process is shown here:
(32, 48, 64) / 2 = (16, 24, 32)
(16, 24, 32) / 2 = (8, 12, 16)
(8, 12, 16) / 2 = (4, 6, 8)
(4, 6, 8) / 2 = (2, 3, 4)
As you can see 2, 3 and 4 do not have any more common factors. So therefore the HCF of 32, 48 and 64 is 2x2x2x2, which equals to 16.