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Find the greatest common factors:25m4,35m3,20m2.

Short Answer

Expert verified

The GCF of the given expressions is5m2.

Step by step solution

01

Step 1. Given information

The given expressions are 25m4,35m3,20m2.

02

Step 2. Factoring

  • Factor each of the given expressions.

25m4=5·5·m·m·m·m35m3=5·7·m·m·m20m2=5·4·m·m

  • From the factors of the given expression, it is observed that the common factors are 5,m,m.
  • Multiply the common factors to determine the GCF of the given expressions.

5·m·m=5m2

  • So, the GCF of the given expressions is5m2.

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