Question

Find the highest common factor (hcf) of 231 and 330.
a) 11
b) 21
c) 33
d) 27

Answer 1

To find the HCF of 231 and 330, use prime factorization to identify the common prime factors and take their smallest power.

Step-by-step explanation:

To find the highest common factor (HCF) of 231 and 330, we can use the method of prime factorization. First, we find the prime factors of each number:

231 = 3 * 7 * 11

330 = 2 * 3 * 5 * 11

The common prime factors are 3 and 11. To find the HCF, we take the smallest power of each common prime factor. In this case, the HCF is 3 * 11 = 33.

Therefore, the correct answer is c) 33.