what is the greatest common factor of 36 and 33

To find the Greatest Common Factor (GCF) of 36 and 33, follow these steps:

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

   - Factors of 36: \(1, 2, 3, 4, 6, 9, 12, 18, 36\)
   - Factors of 33: \(1, 3, 11, 33\)

2. **Identify the common factors:**

   The common factors of 36 and 33 are \(1\) and \(3\).

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

   The greatest common factor (GCF) is **3**.

So, the GCF of 36 and 33 is **3**.

Would you like more details or have any questions?

Here are 8 related questions:
1. How do you find the GCF of 36, 33, and another number?
2. What is the least common multiple (LCM) of 36 and 33?
3. Can the Euclidean algorithm be used to find the GCF of 36 and 33?
4. What is the GCF of 45 and 33?
5. How do prime factorizations of 36 and 33 compare?
6. How do you find the GCF of two numbers if they are both prime?
7. What is the GCF of 36 and 18?
8. Can you explain how the GCF helps in reducing fractions?

**Tip:** When two numbers have a GCF of 1, they are called relatively prime or coprime, meaning they have no other common factors besides 1.

Discover how to find the Greatest Common Factor (GCF) of 36 and 33 step-by-step. Learn about factors, common factors, and how to determine the greatest common factor with an easy explanation. Suitable for students in Grades 4-6.

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