Question

Find the greatest number which is factor of $504$, $792$ and $1080$.

Answer 1

Prime factorization of $504$, $792$ and $1080$ by divisible method are

$$\begin{gathered} 504=2\times 2\times 2\times 3\times 3\times 7 \\ 792=2\times 2\times 2\times 3\times 3\times 11 \\ 1080=2\times 2\times 2\times 3\times 3\times 3\times 5 \end{gathered}$$

Common prime factors in $504$, $792$ and $1080$are $2,2,2,3,3$

Therefore, H.C.F $=2\times 2\times 2\times 3\times 3=72$

Hence, the greatest number which is factor of $504$, $792$ and $1080$ is $72$.