Find the greatest common factor 3m^9n^2,9m^4n^10,15mn

1 answer

The factors of each term are:

3m^9n^2: 1, 3, m, m^2, m^3, m^4, m^5, m^6, m^7, m^8, m^9, n, n^2
9m^4n^10: 1, 3, 9, m, m^2, m^3, m^4, n, n^2, n^3, n^4, n^5, n^6, n^7, n^8, n^9, n^10
15mn: 1, 3, 5, 15, m, n

The greatest common factor is the largest factor that all three terms have in common.

From the factors listed above, the greatest common factor is 3m because it is present in all three terms.