Final answer:
The greatest common factor of the polynomial 49mb² - 35m²ba + 77ma is 7m.
Step-by-step explanation:
To find the greatest common factor (GCF) of the given polynomial 49mb² - 35m²ba + 77ma, we need to factor out the common terms. In this case, the common term is 7m. We can rewrite the polynomial as 7m(7b² - 5mab + 11a).
So, the greatest common factor of the polynomial is 7m. Therefore, the correct option is (d) 7m.