What is the HCF of 12 and 60?

To find the HCF of two numbers you first need to express them as the product of their prime factors:

12 = 2x2x3

60 = 2x2x3x5

The next step is to identify any common factors. In this case, both numbers have two 2s and a 3 as prime factors.

Multiply these together and you get 2x2x3=12

Thus the HCF of 12 and 60 is 12.