The symbol $5!$ means $5\cdot 4\cdot 3\cdot 2\cdot 1$. What is the greatest odd integer that is a factor of $5!$ ?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The symbol $5!$ means $5\cdot 4\cdot 3\cdot 2\cdot 1$. What is the greatest odd integer that is a factor of $5!$ ?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
15
The symbol $5!$ means $5\cdot 4\cdot 3\cdot 2\cdot 1$. What is the greatest odd integer that is a factor of $5!$ ?
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