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The problem asks to find the Highest Common Factor (HCF) of the numbers 50 and 42.

### Solution:

1. **Prime factorization of 50:**
   - \(50 = 2 \times 5^2\)

2. **Prime factorization of 42:**
   - \(42 = 2 \times 3 \times 7\)

3. **Common factors:**
   - The only common prime factor between 50 and 42 is **2**.

4. **Highest Common Factor (HCF):**
   - The HCF is the product of all the common prime factors.
   - \( \text{HCF} = 2 \)

### Answer:
The Highest Common Factor (HCF) of 50 and 42 is **2**.

Would you like more details or have any questions?

### Related Questions:
1. What is the Least Common Multiple (LCM) of 50 and 42?
2. How do you find the HCF of more than two numbers?
3. What are the methods to find HCF besides prime factorization?
4. How do you determine the prime factors of a number quickly?
5. Can the HCF of two numbers ever be larger than either of the numbers?

**Tip:** To quickly find the HCF, you can use the Euclidean algorithm, which involves repeated division.

Find the Highest Common Factor (HCF) of 50 and 42.

Learn how to find the Highest Common Factor (HCF) of 50 and 42 using prime factorization. This problem involves breaking down each number into its prime factors and finding the common factor. Suitable for students in Grades 6-8.

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