Question

Find the $H.C.F$ of $90$ and $144$ by the method of prime factorization ?

Answer 1

$\begin{array}{c}WehavetofindtheH.C.F=90and144\\ 90=2\times 3\times 3\times 5\\ 144=2\times 2\times 2\times 2\times 3\times 3\\ Now,H.C.F=2\times 3\times 3\\ =18\\ Hence,therequiredH.C.Fis18.\end{array}$