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Find the greatest common factor 15 of 33 and .

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To find the greatest common factor (GCF) of 33 and 15, we can use the prime factorization method.

  1. Prime Factorization:

    • The prime factorization of 33 is \(3 \times 11\).
    • The prime factorization of 15 is \(3 \times 5\).

  2. Identifying Common Factors: The only common prime factor between 33 and 15 is \(3\).

  3. Finding the GCF: Since the common factor is \(3\), the greatest common factor of 33 and 15 is \(3\).

Thus, the GCF of 33 and 15 is \(3\).