One number has a prime factorization of 2 3 • 3 2, and another number has a prime factorization of 2 2 • 3 3. Which of the following expressions would equal the greatest common factor of these two numbers?

2 5 • 3 5
2 3 • 3 3
2 2 • 3 2
2 • 3

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Hello! Your correct answer is 2^2 · 3^2 I hope this helped! Your fellow Brainly user GalaxyGamingKitty.

The expression that is equal to the greatest common factor of these two numbers is [tex]2^2.3^2[/tex]

Given that,

  • The first number contains the prime factorization i.e. [tex]2^3.3^2[/tex].
  • And, the second number contains the prime factorization i.e. is [tex]2^2.3^3[/tex]

Based on the above information,

The greatest common factor should be

[tex]= 2^2.3^2[/tex]

[tex]= 4\times 9[/tex]

= 36

Therefore we can conclude that the expression that is equal to the greatest common factor of these two numbers is [tex]2^2.3^2[/tex]

Learn more: brainly.com/question/17429689