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The largest prime factor of 38 is 19.
The largest prime factor of 92 is 23.
The largest prime factor of 93,093 is 31.
The largest prime factor of 1,505 is 43.
Considering that 100 = (2^2)*(5^5) and 38 = (2^1)*(19^1), we can see that 2 is the greatest common prime factor between 100 and 38. If the question meant the greatest prime factor of either 100 or 38, then the answer is 19.