Find the greatest common factor of 8 and 14

To find the greatest common factor (GCF) of 8 and 14, we can use the prime factorization method:

1. **Prime Factorization**:
   - The prime factors of 8 are: \(2 \times 2 \times 2 = 2^3\).
   - The prime factors of 14 are: \(2 \times 7\).

2. **Identify Common Factors**:
   - The common prime factor is 2.

3. **GCF**:
   - Therefore, the greatest common factor of 8 and 14 is \(2\).

If you have any questions or would like further details, feel free to ask! Here are some related questions:

1. How would you find the GCF of three numbers?
2. What is the least common multiple (LCM) of 8 and 14?
3. Can you explain the difference between GCF and LCM?
4. How do you use the Euclidean algorithm to find the GCF?
5. What are some real-life applications of GCF?

**Tip**: To find the GCF using the listing method, list all factors of each number and choose the largest common one.

Discover how to find the greatest common factor (GCF) of 8 and 14 using prime factorization. This guide covers essential number theory concepts and provides a detailed solution suitable for students in Grades 5-7.

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