Question

If two positive integers m and n are expressible in the form m = pq³ and n = p³ q² where p, q are prime numbers, then HCF (m, n) =
A. pq
B. pq²
C. p³q³
D. p²q³

Answer 1

Option c is the answer
Hope it help

Answer 2

C. p³q³

Step-by-step explanation:

Given: m = pq³ and n = p³ q²  

m = p * q * q * q  

n =  p * p * p * q * q

HCF (m, n) = p * p * p * q * q * q = p³q³

Option C is the answer.