Question

GCF of 25m^5 - 45m^3n - 45mn^7

Answer 1

GCF simply means the greatest common factor that is common to each term.

GCF = 5m

• We are given;

25m^(5) - 45m³n - 45mn^(7)

• Factors of 25m^(5) = 1, 5, 25, m

• Factors of 45m³n = 1, 3, 5, 9, 15, 45, m, n

• Factors of 45mn^(7) = 1, 3, 5, 9, 15, 45, m, n

• From the factors listed, we see that the highest one that is common to all three is 5m.

Thus, GCF = 5m

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