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The problem in the image asks to determine the greatest common factor (GCF) of 42 and 36.

### Step 1: Find the factors of each number.
- **Factors of 42** are: \(1, 2, 3, 6, 7, 14, 21, 42\)
- **Factors of 36** are: \(1, 2, 3, 4, 6, 9, 12, 18, 36\)

### Step 2: Find the common factors.
The common factors of 42 and 36 are: \(1, 2, 3, 6\)

### Step 3: Identify the greatest common factor.
The **GCF** is the largest number in the common factors, which is **6**.

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### Relative Questions:
1. How can you find the GCF using prime factorization?
2. What are the properties of the GCF in relation to divisibility?
3. Can the GCF be larger than the smaller number between two numbers?
4. How is the GCF useful in simplifying fractions?
5. What is the difference between GCF and Least Common Multiple (LCM)?

**Tip:** The GCF is particularly helpful when simplifying ratios or fractions, as it helps reduce them to their simplest form.

Determine the greatest common factor (GCF) of 42 and 36.

Learn how to determine the greatest common factor (GCF) of 42 and 36 by listing the factors of both numbers and identifying the largest common factor. Suitable for Grades 5-7 students.

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