First, let's list the factors of 72, although it may seem tedious, it might be useful until you get the hang of it.
1, 2, 3, 4, 6, 12, 18, 24, 36, 72.
*Please Note*: That you may skip the step above if you need to.
Second, the largest factor of any number is extremely simple. It's always the number itself.
Example: Find the largest factor of 1337.
It's a no-brainer. The largest factor is undoubtedly 1337, the number itself.
Similarly, the largest factor of 72 is...well... 72.
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Three.
The question does not make any sense at all because72 is not an odd number72 is not the largest factor of 720
The highest factor of 72 is 72.
72 is not a factor of 18; 18 is a factor of 72.
6 is not a prime number but it is a factor of 72