22. Let $a, b, c, d$ be positive integers, $(a, b)=24$, $(b, c)=36$, $(c, d)=54$, $70<(d, a)<100$. Then the factor of $a$ is ( ).
(A) 5
(B) 7
(C) 11
(D) 13
(E) 17
22. D.

Notice that, $(a, b)=24=2^{3} \times 3$, $(b, c)=36=2^{2} \times 3^{2},(c, d)=54=2 \times 3^{3}$.
Thus, $\left(2^{2} \times 3^{2}\right) 1 b$.
Let $a=2^{3} \times 3 a_{1}, c=2 \times 3^{2} a_{2}$, where $a_{i} \in \mathbf{Z}_{+}(i=1,2)$.
Therefore, $(a, d)=2 \times 3 k\left(k \in \mathbf{Z}_{+}\right)$.
Also, $70<(d, a)<100$, hence,
$$
70<6 k<100\left(k \in \mathbf{Z}_{+}\right) \Rightarrow 12 \leqslant k \leqslant 16 \text {. }
$$

Therefore, only $k=13$ fits the option.