Find the GCF for the given list. $$ y^{8}, y^{2}, y^{9} $$

Question

UpStudy AI · Accepted Answer

To find the **Greatest Common Factor (GCF)** of the terms $$ y^{8} $$, $$ y^{2} $$, and $$ y^{9} $$, follow these steps:

1. **Identify the Exponents:**
   - $$ y^{8} $$
   - $$ y^{2} $$
   - $$ y^{9} $$

2. **Determine the Lowest Exponent:**
   - The exponents are 8, 2, and 9.
   - The smallest exponent among these is **2**.

3. **Form the GCF:**
   - The GCF is $$ y $$ raised to the smallest exponent.
   - Therefore, the GCF is $$ y^{2} $$.

**Final Answer:**
$$ \text{GCF} = y^{2} $$
The GCF is $$ y^{2} $$.

Find the GCF for the given list.