Question

if two positive integers a and b are written as a = x2y2 and b= xy2 are prime numbers then HCF of (a,b) is

Answer 1

Answer:

xy²

Step-by-step explanation:

If two positive integers a and b are written as a = x2y2 and b= xy2 are prime numbers then HCF of (a,b) is

a = x²y²

b = xy²

HCF is Highest common Factor

Lets factorise a & b and find common factors

a = x.x.y.y    

b =x.y.y

common factors are = x.y.y

HCF = x.y.y = xy²