Find the HCF and LCM of 24 and 60?

To find the highest common factor (HCF) and lowest common multiple (LCM) of 24 and 60, we can use prime factorization.

Prime factorization of 24:
24 = 2 * 2 * 2 * 3

Prime factorization of 60:
60 = 2 * 2 * 3 * 5

To find the HCF, we take the common prime factors with the lowest exponent:
HCF = 2 * 2 * 3 = 12

To find the LCM, we take all the prime factors with the highest exponent:
LCM = 2 * 2 * 2 * 3 * 5 = 120

Therefore, the HCF of 24 and 60 is 12, and the LCM is 120.