what is the greatest common factor of 8 and 12 

To find the greatest common factor (GCF) of 8 and 12, follow these steps:

1. **List the factors** of each number:
   - Factors of 8: \( 1, 2, 4, 8 \)
   - Factors of 12: \( 1, 2, 3, 4, 6, 12 \)

2. **Identify the common factors** between the two lists:
   - Common factors: \( 1, 2, 4 \)

3. **Determine the greatest common factor**:
   - The greatest common factor is \( 4 \).

So, the greatest common factor (GCF) of 8 and 12 is \( \boxed{4} \).

Would you like further details on the process or have any additional questions?

Here are some related questions:

1. What is the GCF of 12 and 18?
2. How do you find the GCF of 8, 12, and 20?
3. What is the least common multiple (LCM) of 8 and 12?
4. Can you find the GCF of two numbers using prime factorization?
5. How do you simplify the fraction 8/12 using the GCF?
6. What is the relationship between the GCF and the LCM of two numbers?
7. How is the GCF used in solving word problems involving ratios?
8. Can the Euclidean algorithm be used to find the GCF of 8 and 12?

**Tip:** The GCF can help in reducing fractions to their simplest form by dividing both the numerator and the denominator by the GCF.

Discover how to find the greatest common factor (GCF) of 8 and 12 step-by-step. Learn about factors, common factors, and determine the GCF using a detailed mathematical approach. Suitable for Grades 6-8.

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