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We are asked to reduce the fraction \( \frac{150}{425} \) by removing the common factors and identifying the greatest common factor (GCF).

### Step 1: Find the GCF of 150 and 425.
- The prime factorization of 150:  
  \( 150 = 2 \times 3 \times 5^2 \)
- The prime factorization of 425:  
  \( 425 = 5^2 \times 17 \)

The common factor between 150 and 425 is \( 5^2 = 25 \), so the GCF is 25.

### Step 2: Reduce the fraction by dividing both the numerator and the denominator by 25.
- \( \frac{150}{425} = \frac{150 \div 25}{425 \div 25} = \frac{6}{17} \)

Thus, the reduced fraction is \( \frac{6}{17} \) and the GCF is 25.

### Conclusion:
The correct response is the first option:  
\[ \frac{6}{17}, \, GCF = 25 \]

Would you like further clarification or details on any part of this process?

Here are 5 related questions:
1. How do you find the greatest common factor between two numbers?
2. What is the difference between prime factorization and finding the GCF?
3. Can every fraction be reduced to its simplest form?
4. How would you reduce a fraction with a GCF of 1?
5. What is the relationship between the numerator and denominator when simplifying fractions?

**Tip**: Always check for common factors using prime factorization to simplify fractions efficiently.

Reduce the following fraction by removing the common factors and name the greatest common factor for 150/425.

Learn how to reduce the fraction 150/425 by finding the greatest common factor (GCF) and simplifying it to its lowest terms. Understand GCF calculation and fraction simplification techniques. Suitable for students in Grades 6-8.

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