Please help me.

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?

Answer 1

2^3*3^2

2^2*3^3

if you write the prime factorizations using exponents, you take the smallest power of every common prime factor

therefore you use 2^2 and 3^2 which is 2^2*3^2=36

Answer 2

I think the greatest common factor for these two numbers is 2² X 3². The first number has three 2s and two 3s and the second number has two 2s and three 3s, They both have two 2s and two 3s, so that is that greatest common factor.