Question

If two positive integers p and q are written as p= a^3b and q= ab^3 a and b are prime
numbers, then HCF (p,q) is:
​

Answer 1

If two positive integers p and q are written as p= a³b and q= ab³ a and b are prime  numbers, then HCF (p,q) is ab

Step-by-step explanation:

Given

$p=a^3b=a\times a\times a\times b$

$q=ab^3=a\times b\times b\times b$

Given a and b are prime

Therefore,they further cannot be factorized

Thus,

$HCF(p,q)=a\times b=ab$

Hope this answer is helpful.

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