Answer:
[tex]gcd(x, y) = 3^2\times 5^3\times 7[/tex]
Step-by-step explanation:
We are given the following in the question:
[tex]x = 3^4\times 5^3\times 7\times 11^4\\y = 3^2\times 5^4\times 7\times 13^4[/tex]
We have to find prime factorization for gcd(x, y).
To find the greatest common factor for x and y ,we find the common factors in the prime factorization of x and y.
The common factors are:
[tex]g.c.d(x,y) = 3^2\times 5^3\times 7 = 7875[/tex]
The prime factorization for gcd(x,y) is
[tex]7875\\= 3\times 3\times 5\times 5\times 5\times 7\\ = 3^2\times 5^3\times 7[/tex]
