jaylinnwang
jaylinnwang jaylinnwang
  • 14-07-2022
  • Mathematics
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Find the GCF of the monomials: 32x^2 and 24x^2y

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Intriguing456
Intriguing456 Intriguing456
  • 14-07-2022

Answer:

8x^2

Explanation:

First, do prime factorization of each of the coefficients:

32   ⇒   2^5

24   ⇒   2^3, 3

The greatest common factor (GCF) of the coefficients is 2^3 = 8.

Next, find the GCF of the variables:

x^2

x^2, y

The GCF of the variables is x^2.

Finally, multiply the GCF of the coefficients by the GCF of the variables to get:

8x^2

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