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

Verified Answer :

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 \(2^2.3^2\)

Given that,

  • The first number contains the prime factorization i.e. \(2^3.3^2\).
  • And, the second number contains the prime factorization i.e. is \(2^2.3^3\)

Based on the above information,

The greatest common factor should be

\(= 2^2.3^2\)

\(= 4\times 9\)

= 36

Therefore we can conclude that the expression that is equal to the greatest common factor of these two numbers is \(2^2.3^2\)

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