Question 587502
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Write out the prime factorization of each of the terms:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 9m^3\ =\ 3\ \times\ 3\ \times\ m\ \times\ m\ \times\ m]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 30m^2\ =\ 2\ \times\ 3\ \times\ 5\ \times\ m\ \times\ m]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 24\ =\ 2\ \times\ 2\ \times\ 2\ \times\ 3]


The fewest number of times that 2 appears as a factor is 0, so there are 0 factors of 2 in the GCF


The fewest number of times that 3 appears as a factor is 1, so there is 1 factor of 3 in the GCF


Fewest 5s are zero and fewest *[tex \LARGE m]s are zero, so the GCF is 3.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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