The **Greatest Common Factor (GCF)** of 15 and 45 is the largest number that divides both 15 and 45 without leaving a remainder.

Here are the steps to find the GCF:

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

   - Factors of 15: 1, 3, 5, 15
   - Factors of 45: 1, 3, 5, 9, 15, 45

2. **Identify the common factors:**
   - Common factors: 1, 3, 5, 15

3. **Find the largest common factor:**
   - The largest common factor is **15**.

Therefore, the **GCF of 15 and 45 is 15**.

Would you like a more detailed explanation or to see another method?

Here are 5 related questions:
1. How do you find the least common multiple (LCM) of 15 and 45?
2. Can you find the GCF of 24 and 36?
3. How is GCF used in simplifying fractions?
4. What is the relationship between GCF and prime factorization?
5. What happens if two numbers have no common factors other than 1?

**Tip:** The GCF is useful for simplifying fractions to their lowest terms!

Discover how to find the Greatest Common Factor (GCF) of 15 and 45 with a detailed step-by-step solution. This problem covers essential number theory concepts, including factors and the divisibility theorem. Suitable for students in Grades 5-7.

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