What is the greatest common factor of 9 and 12?

The greatest common factor (GCF) of 9 and 12 is the largest number that divides both 9 and 12 without leaving a remainder.

To find the GCF:

1. **Find the factors of each number**:
   - Factors of 9: 1, 3, 9
   - Factors of 12: 1, 2, 3, 4, 6, 12

2. **Identify the common factors**:
   - Common factors of 9 and 12: 1, 3

3. **Select the greatest common factor**:
   - The largest common factor is **3**.

Thus, the GCF of 9 and 12 is **3**.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find the least common multiple (LCM) of 9 and 12?
2. Can you apply the Euclidean algorithm to find the GCF of 9 and 12?
3. How do you find the GCF of three numbers, like 9, 12, and 15?
4. What is the prime factorization method for finding the GCF of two numbers?
5. Why is the GCF useful in simplifying fractions?

**Tip:** Knowing the GCF can help in simplifying fractions and solving problems involving ratios.

Discover how to find the greatest common factor (GCF) of 9 and 12 with this simple step-by-step explanation. Learn how to identify factors and common factors to solve GCF problems. This solution is suitable for students in Grades 4-6.

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