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Find the greatest common factor of the following terms.
50x^5, 20x^9, and 90x^4

Find the greatest common factor of the following terms. 50x^5, 20x^9, and 90x^4-example-1

1 Answer

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Answer: 10x^4

Step-by-step explanation:

The coefficients 50, 20 and 90 have these prime factorizations

  • 50 = 2*5*5
  • 20 = 2*2*5
  • 90 = 2*3*3*5

Each prime factorization has 2 and 5 involved. This makes 2*5 = 10 the GCF of those three values. The value 10 is the coefficient of the final answer.

The x terms are: x^5, x^9, x^4

We circle the x term with the smallest exponent to get the missing part of the GCF.

We combine 10 and x^4 to get 10x^4 as the GCF of 50x^5, 20x^9, and 90x^4.

User Syed Absar
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