The common ratio of a geometric progression is determined by dividing one term by the previous one. Hence, in the geometric sequence shown in the question the common ration is derived as;
[tex]\begin{gathered} r=\frac{24}{4} \\ r=6 \\ \text{Also,} \\ r=\frac{144}{24} \\ r=6 \end{gathered}[/tex]The common ratio is 6, that is option C