What is the greatest common factor of 33, 18, and 12?


To find the greatest common factor (GCF) of 33, 18, and 12, we can follow these steps:

1. **Prime Factorization**:
   - \( 33 = 3 \times 11 \)
   - \( 18 = 2 \times 3^2 \)
   - \( 12 = 2^2 \times 3 \)

2. **Identify Common Factors**:
   - The only common prime factor among all three numbers is \( 3 \).

3. **Greatest Common Factor**:
   - Since the only common factor is \( 3 \), the GCF of 33, 18, and 12 is \( 3 \).

Therefore, the greatest common factor of 33, 18, and 12 is **3**.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. How do you find the least common multiple (LCM) of several numbers?
2. What is the GCF of two prime numbers?
3. How do you use the Euclidean algorithm to find the GCF?
4. What is the GCF of 27, 36, and 45?
5. How can you use the GCF to simplify fractions?

**Tip**: The GCF can help simplify fractions by reducing both the numerator and denominator by their greatest common factor.

What is the greatest common factor of 33, 18, and 12?

Learn how to find the greatest common factor (GCF) of 33, 18, and 12 using prime factorization. This step-by-step solution explains the process and highlights the GCF as 3. Ideal for students in Grades 6-8.

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