Find the greatest common factor (GCF/HCF) of the following polynomials: `a^2b^3, a^3b^2` (ii) `36 a^2b^2c^4,\ 54 a^5c^2,\ 90 a^4b^2c^2`

Explanation

To find the greatest common factor (GCF) of the given polynomials, we will follow these steps:

### Part (i): Find the GCF of \( a^2b^3 \) and \( a^3b^2 \)

1. **Identify the variables and their powers:**
- For \( a^2b^3 \):
- \( a \) has a power of 2.
- \( b \) has a power of 3.
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