A teacher has $120$ pens, consisting of $72$ black pens and $48$ red pens. The teacher wants to put together

A teacher has $120$ pens, consisting of $72$ black pens and $48$ red pens. The teacher wants to put together packets for her students in which she uniformly distributes the black and red pens among the packets so that none of the pens are left over and all the packets have the same ratio of black pens to red pens. What is the greatest number of packets the teacher can make?

A. $8$
B. $12$
C. $16$
D. $24$
E. $30$

The OA is D

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