Exercise 10. Determine the greatest number that divides both 110000 and 121000, and has at most two prime divisors.
Solution of exercise 10 The numbers are $2^{4} .5^{4} .11$ and $2^{3} .5^{3} .11^{2}$. We need to compare $2^{3} .5^{3}$ and $5^{3} .11$. The largest is $5^{3} .11=1375$.