Final answer:
The greatest common factor of 15b⁴ and 10b² is b².
Step-by-step explanation:
To find the greatest common factor (GCF) of 15b⁴ and 10b², we need to find the largest number or term that can divide both 15b⁴ and 10b² without leaving a remainder.
First, let's list the factors of each term:
Factors of 15b⁴: 1, b, b², b³, b⁴, 15, 5, 3
Factors of 10b²: 1, b, b², 10, 5, 2
From the factors listed above, we can see that the common factors are 1, b, and b². So, the GCF of 15b⁴ and 10b² is b².