Which of the following is/are common factor of $144\&169$?

The correct option is D 1
We know,
$144=1\times 12\times 12$
$144=1\times 3\times 4\times 3\times 4$

$\therefore$ Factors of $144$ are $1,2,3,4,8,9,12,16,18,24,36,48$ and $144.$

Factors of 169 are $1,13\&169$.

Hence, there is only 1 common factor between 144 and 169 i.e. 1.