what is the greatest common factor of 6,12 and 16

To find the Greatest Common Factor (GCF) of 6, 12, and 16, we can follow these steps:

1. **List the factors of each number:**

   - Factors of 6: \(1, 2, 3, 6\)
   - Factors of 12: \(1, 2, 3, 4, 6, 12\)
   - Factors of 16: \(1, 2, 4, 8, 16\)

2. **Identify the common factors:**

   The common factors of 6, 12, and 16 are \(1\) and \(2\).

3. **Determine the greatest of these common factors:**

   The greatest common factor (GCF) is \(2\).

So, the GCF of 6, 12, and 16 is **2**.

Would you like more details or have any questions?

Here are 8 related questions:
1. How do you find the least common multiple of 6, 12, and 16?
2. What is the GCF of 18, 24, and 30?
3. Can you explain the prime factorization method for finding the GCF?
4. How does the GCF differ from the least common divisor?
5. What is the GCF of 25 and 35?
6. What is the importance of the GCF in simplifying fractions?
7. How do you find the GCF of three or more numbers using the Euclidean algorithm?
8. What is the GCF of 20 and 30?

**Tip:** The GCF is especially useful when simplifying fractions and solving problems involving ratios.

Discover how to find the Greatest Common Factor (GCF) of 6, 12, and 16 with a detailed step-by-step explanation. Explore the factors of each number and learn how to identify and calculate the GCF effectively. Suitable for students in Grades 6-8.

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