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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.
97 is the largest prime number below 100.
There are 21 prime numbers between 100-200.
The maximum difference is 8, between 89 and 97.
number of prime numbers between 100 and 125 = 5prime numbers between 100 and 125 = 101,103,107,109,113