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Let's find the greatest common factor (GCF) of the two expressions:

1. \( 10x^6 w^3 \)
2. \( 6x^8 v^7 w^2 \)

### Step-by-step process:
1. **Numerical Coefficients:**
   - For 10 and 6, the greatest common factor (GCF) is 2.

2. **Variable \( x \):**
   - For \( x^6 \) and \( x^8 \), we take the lowest power, which is \( x^6 \).

3. **Variable \( w \):**
   - For \( w^3 \) and \( w^2 \), we take the lowest power, which is \( w^2 \).

4. **Variable \( v \):**
   - In the first expression, there is no \( v \), so it doesn't appear in the GCF.

### Final GCF:
The GCF of the two expressions is:
\[
2x^6 w^2
\]

Let me know if you need any clarifications!

Here are 5 related questions to consider:
1. How do you find the least common multiple (LCM) of two expressions?
2. Can you factor higher degree polynomials using GCF?
3. How does the presence of more variables affect the GCF?
4. What happens if one expression has a variable not present in the other?
5. Can the GCF process be extended to more than two terms?

**Tip:** Always start by finding the GCF of the numerical coefficients before dealing with variables!

Find the greatest common factor of the two expressions: 10x^6 w^3 and 6x^8 v^7 w^2.

Learn how to find the greatest common factor (GCF) of the expressions 10x^6 w^3 and 6x^8 v^7 w^2. The GCF is found by determining the greatest common factor of the numerical coefficients and variables, making this a great problem for students in Grades 8-10.

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