Find the greatest common factor of 5a^4 and 14w^2

To find the greatest common factor of 5a^4 and 14w^2, we need to find the highest factor that both terms have in common.

The factors of 5a^4 are 1, 5, a, a^2, a^3, a^4, 5a, 5a^2, 5a^3, and 5a^4.

The factors of 14w^2 are 1, 2, 7, 14, w, w^2, 2w, 7w, and 14w^2.

The highest factor they have in common is 1. Therefore, the greatest common factor of 5a^4 and 14w^2 is 1.