Final answer:
The greatest common factor of a⁵b² and a⁶b³ is a⁵b².
Step-by-step explanation:
To find the greatest common factor of a⁵b² and a⁶b³, we need to identify the common factors between the two terms and choose the highest exponent for each common factor.
- Identify the common factors between a⁵b² and a⁶b³: the common factor is a⁵.
- Choose the highest exponent for the common factor: a⁵.
- Repeat the process for the common factor b² and b³: the common factor is b².
- Choose the highest exponent for the common factor: b².
Therefore, the greatest common factor of a⁵b² and a⁶b³ is a⁵b².