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find the HCF the following number shown as the product of its prime factors.

To find the Highest Common Factor (HCF) of two numbers given in their prime factorization form, we need to identify the common prime factors and multiply them.

### Given:
- **First number:** \( 2 \times 3 \times 3 \times 11 \times 13 \)
- **Second number:** \( 2 \times 5 \times 11 \times 13 \)

### Steps to find the HCF:

1. **List the common prime factors:**
   - Both numbers have the prime factors **2**, **11**, and **13** in common.

2. **Multiply the common prime factors:**
   \[
   HCF = 2 \times 11 \times 13
   \]

3. **Calculate the HCF:**
   \[
   HCF = 2 \times 11 = 22
   \]
   \[
   HCF = 22 \times 

Learn how to find the Highest Common Factor (HCF) of numbers given in their prime factorization form. This problem involves identifying common prime factors and multiplying them to determine the HCF. Suitable for students in Grades 6-8.

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