Answer
a. 3^{5} \times 5^(3)
b. 1
c. 23^(17)
d. 41 \times 43 \ times 53
e. 1
f. 1111
Work Step by Step
Let a^(n) be an integer, then a is called a basis and n is called a degree. To solve greatest common divisor between two number, then find the least degree if there are same basis of two numbers.
a. the least degree between basis of 3 is 5 and basis of 5 is 3.
b. there are no same basis between those number so the answer is 1
c. the least degree between two numbers with basis of 23 is 17
d. the least degree between same basis is 41, 43, and 53
e. there are no same basis between those number so the answer is 1
f. the greatest common divisor between a non-zero number and 0 is the non-zero number itself