What is the greatest integer less than 100 for which the greatest common factor of that integer and 18 is 3?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the greatest integer less than 100 for which the greatest common factor of that integer and 18 is 3?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
93
What is the greatest integer less than 100 for which the greatest common factor of that integer and 18 is 3?
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