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To find the greatest common factor (GCF) of 14 and 16, we need to find the largest number that divides both 14 and 16 without leaving a remainder.

- The prime factors of 14 are \( 2 \times 7 \).
- The prime factors of 16 are \( 2 \times 2 \times 2 \times 2 \).

The only common factor between the two numbers is \( 2 \).

So, the greatest common factor (GCF) of 14 and 16 is **2**.

Would you like further details on how to find the GCF or anything else explained?

Here are 5 related questions to expand your understanding:
1. How do you find the greatest common factor using the Euclidean algorithm?
2. What is the difference between the greatest common factor (GCF) and the least common multiple (LCM)?
3. Can the greatest common factor of two numbers ever be greater than either of the numbers?
4. How does the GCF help in simplifying fractions?
5. How would you find the GCF of more than two numbers?

**Tip:** Prime factorization is a very useful method for finding the GCF and LCM of two or more numbers.

Find the greatest common factor of 14 and 16.

Discover how to find the greatest common factor (GCF) of 14 and 16 using prime factorization. This step-by-step solution explains the key concepts of GCF and prime factorization, suitable for students in Grades 5-7.

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