Question

HELPP

What is the greatest integer less than $100$ for which the greatest common factor of that integer and $18$ is $3$?

Answer 1

The prime factorization of 18 = 2*3*3
The prime factorization of 81 = 3*3*3*3

81 is the greatest integer less than 100 in which the greatest common factor is 3

Answer 2

2

Explanation:

the prime factorization of 100 is: 2 x 2 x 5 x 5

the prime factorization of 18 is: 2 x 3 x 3

the largest common integer between both sets of numbers is 2