The greatest common factor (GCF) of 42 and 60 is the largest number that divides both 42 and 60 without leaving a remainder. 

To find the GCF, let's follow these steps:

1. **Find the prime factors of each number:**

   - **42** can be factored as \( 2 \times 3 \times 7 \).
   - **60** can be factored as \( 2 \times 2 \times 3 \times 5 \).

2. **Identify the common factors:**

   - The common prime factors between 42 and 60 are \( 2 \) and \( 3 \).

3. **Multiply the common factors:**

   - GCF = \( 2 \times 3 = 6 \).

So, the GCF of 42 and 60 is **6**.

Would you like more details or have any questions? Here are five related questions you might find interesting:

1. How do you find the least common multiple (LCM) of 42 and 60?
2. Can you find the GCF of three numbers, such as 42, 60, and 84?
3. What is the relationship between GCF and LCM?
4. How do you find the prime factorization of larger numbers?
5. What is the GCF of 42 and 105, and how does it compare to the GCF of 42 and 60?

**Tip:** The GCF is particularly useful in simplifying fractions or finding common denominators.

Discover how to find the greatest common factor (GCF) of 42 and 60 using prime factorization. This problem covers key concepts in number theory and prime factorization, providing a detailed step-by-step solution. Suitable for students in Grades 5-7.

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