Find the GCF of 21m^5n^2 and 28m^4n2

Mathematics

1 answer:

nikklg [1K]3 years ago

7 0

Answer: 7m⁴n²

Step-by-step explanation:

Find the GCF of 21m⁵n² and 28m⁴n².

Find the prime factors of each term in order to find the greatest common factor (GCF).

21m⁵n² = 7 · 3 · m · m · m · m · m · n · n

28m⁴n² = 7 · 2 · 2 · m · m · m · m · n · n

The product of these common prime factors will be the Greatest Common Factor: 7 · m · m · m · m · n · n = 7m⁴n²

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