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

Question

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

anonymous · Answer

one is $2^2\times 3^2$ and the other is $2^2\times 3^3$ like that?

landon34 · Answer

yes.

anonymous · Answer

take each factor you see to the lowest power you see in any one number 
in this case the lowest power of 3 is 2, so it would be $$2^2\times 3^2$$

landon34 · Answer

2^3

landon34 · Answer

the first number is 2^3 instead of 2^2