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Answer :
The greatest common factor of 198 and 330 is 66, found by using prime factorization and multiplying the common prime factors 2, 3, and 11.
The greatest common factor (GCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the GCF of 198 and 330, we can list their factors or use prime factorization. For brevity, we'll use prime factorization:
198 = 2 × 3² × 11
330 = 2 × 3 × 5 × 11
The common factors are 2, 3, and 11. Multiplying them together, we get the GCF: 2 × 3 × 11 = 66.
Therefore, the greatest common factor of 198 and 330 is 66, which corresponds to option B.
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