To find the Greatest Common Factor (GCF) of 32, 80, and 112, we will follow these steps:

1. **List the prime factors of each number:**

   - **32:** \( 32 = 2^5 \)
   - **80:** \( 80 = 2^4 \times 5 \)
   - **112:** \( 112 = 2^4 \times 7 \)

2. **Identify the common prime factors with the smallest exponent:**

   - The common prime factor is \( 2 \).
   - The smallest exponent among the common factors is \( 2^4 \).

3. **Multiply the common prime factors:**

   \[
   \text{GCF} = 2^4 = 16
   \]

Therefore, the GCF of 32, 80, and 112 is **16**.

Would you like more details or have any questions?

### Related Questions:
1. What is the GCF of 40, 56, and 72?
2. How do you find the GCF using the Euclidean algorithm?
3. What is the LCM of 32, 80, and 112?
4. How do you find the GCF using prime factorization?
5. What is the difference between GCF and LCM?
6. Can two numbers have the same GCF and LCM?
7. How can the GCF be used in simplifying fractions?
8. What is the GCF of 45, 60, and 75?

### Tip:
Always double-check your prime factorization to ensure accuracy when finding the GCF.

Discover how to find the Greatest Common Factor (GCF) of 32, 80, and 112 step-by-step with prime factorization method. This problem involves basic number theory and prime factorization techniques, suitable for students in Grades 5-7.

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