sarahbuirat7p4h1ng
sarahbuirat7p4h1ng sarahbuirat7p4h1ng
  • 20-02-2019
  • Mathematics
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What is the gcf of 30x^2 and 66x^5?

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 09-03-2019

Answer:

[tex]6x^2[/tex]

Step-by-step explanation:

Express as product of prime factors.

[tex]30x^2=2\times 3\times 5\times x^2[/tex]

[tex]66x^5=2\times 3\times 11\times x^5[/tex]

The greatest common factor is the product of the least powers of the common factors.

The GCF is

[tex]2\times 3\times x^2=6x^2[/tex]

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