a-and-b-are-distinct-primes-and-x-y-0-1-2-What-is-the-number-of-divisors-common-to-the-numbers-a-x-b-y-and-a-y-b-x-

Question Number 27888 by Rasheed.Sindhi last updated on 16/Jan/18

a and b are distinct primes and

x, y \in {0, 1, 2, \dots} .

What is the number of divisors

common to the numbers (a^{x} b^{y})

and (a^{y} b^{x}) ?

Commented by prakash jain last updated on 16/Jan/18

2^{\min (x, y) + 1}

Commented by Rasheed.Sindhi last updated on 16/Jan/18

Than k s Sir! Any process ?

Why 2 is involved ?

Commented by Rasheed.Sindhi last updated on 17/Jan/18

Ok Sir!

Commented by prakash jain last updated on 17/Jan/18

2^{\min (x, y) + 1} is wrong it should

have been {(\min (x, y) + 1)}^{2} .

Answered by mrW2 last updated on 17/Jan/18

Commented by Rasheed.Sindhi last updated on 17/Jan/18

Quite Ok Sir! THANKS - a - LOT!