what is the greatest common factor of 28 and 36

To find the greatest common factor (GCF) of 28 and 36, we'll follow these steps:

1. **List the factors** of each number:
   - Factors of 28: \( 1, 2, 4, 7, 14, 28 \)
   - Factors of 36: \( 1, 2, 3, 4, 6, 9, 12, 18, 36 \)

2. **Identify the common factors** between the two lists:
   - Common factors: \( 1, 2, 4 \)

3. **Determine the greatest common factor**:
   - The greatest common factor is \( 4 \).

So, the greatest common factor (GCF) of 28 and 36 is \( \boxed{4} \).

Would you like more details on the steps, or do you have any questions?

Here are some related questions:

1. What is the GCF of 45 and 60?
2. How do you find the GCF of three numbers?
3. What is the least common multiple (LCM) of 28 and 36?
4. Can prime factorization be used to find the GCF?
5. What are the prime factors of 28 and 36?
6. How can the GCF be used in simplifying fractions?
7. What is the relationship between GCF and LCM?
8. How do you find the GCF using the Euclidean algorithm?

**Tip:** The GCF is particularly useful when simplifying fractions or solving problems involving ratios.

Learn how to find the greatest common factor (GCF) of 28 and 36 with a step-by-step explanation. Understand the concept of factors and how to identify the GCF using factor lists. Suitable for students in Grades 5-7.

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