The Greatest Common Factor (GCF) of 32 and 40 can be found by determining the largest number that divides both of them evenly.

### Step 1: Prime Factorization
- **32**: The prime factorization of 32 is \( 2^5 \).
- **40**: The prime factorization of 40 is \( 2^3 \times 5 \).

### Step 2: Identify Common Factors
The only common factor between 32 and 40 is 2, and the lowest power of 2 common to both factorizations is \( 2^3 \).

### Step 3: Calculate the GCF
Thus, the GCF is \( 2^3 = 8 \).

So, the GCF of 32 and 40 is **8**.

Would you like more details or have any other questions?

Here are some related questions:
1. What is the Least Common Multiple (LCM) of 32 and 40?
2. How do you find the GCF of three numbers?
3. What are the common factors of 32 and 40?
4. Can GCF be used to simplify fractions?
5. How do prime factorizations help in finding the GCF?

**Tip**: The GCF is useful for simplifying fractions! Divide both the numerator and the denominator by the GCF to simplify.

Learn how to calculate the Greatest Common Factor (GCF) of 32 and 40 by using prime factorization. This detailed step-by-step guide is perfect for students in Grades 5-7, covering key concepts in number theory and prime factorization.

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