Question
Find the greatest common factor 3m^9n^2,9m^4n^10,15mn
Answers
Answered by
GPT 3.5
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.
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.
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