Question

What are the common factors of $14pq$ and $28p^2{q}^2$?

Answer 1

$14pq=1\times 2\times 7\times p\times q$
$28p^2{q}^2=1\times 2\times 7\times 2\times p\times p\times q\times q$

Common factors of $14pq$ and $28p^2{q}^2$:

1, 2, 7, 14 (product of 2 and 7), p, $2p$ (product of 2 and $p$), $7p$ (product of 7 and $p$), $14p$ (product of 2, 7 and $p$), $q$, $2q$ (product of 2 and $q$), $7q$ (product of 7 and $q$), $14q$ (product of 2, 7 and $q$), $pq$ (product of $p$ and $q$), $2pq$ (product of 2, $p$, and $q$), $7pq$ (product of 7, $p$, and $q$), and $14pq$ (product of 2, 7, $p$, and $q$).