Answer:
HCF = 66
Step-by-step explanation:
Step 1: Prime Factorization of 330:
330 = 2 × 3 × 5 × 11
Step 2: Prime Factorization of 396:
396 = 2^2 × 3^2 × 11
Step 3: Identify the common prime factors and their lowest powers:
Common factors: 2, 3, 11
Step 4: Multiply the common prime factors with their lowest powers:
HCF = 2^1 × 3^1 × 11^1
HCF = 2 × 3 × 11
HCF = 66
Therefore, the HCF of 330 and 396 is 66.