Question # 01: Find HCF by factorization method:
\((i)\) \(\;\) \( 21x^2y,35xy^2\)
Solution:
$\displaystyle 21x^{2} y=3\times 7\times x\times x\times y$
$\displaystyle 35xy^{2} =5\times 7\times x\times y\times y$
$\displaystyle \text{HCF} =7\times x\times y$
$\displaystyle \text{HCF} =7xy$