There is a natural number a, which satisfies the following conditions, a can divide 112, a divides 38 and the remainder is 2, and 102 minus 2 is also divisible by a. Find the maximum value of a.
有一个自然数a，它符合下面的条件，a能整除112，a除38余2，102减去2也能被a整除，求a最大是多少．
<gadget id="calculator">2 * 2</gadget>
<output>4</output>

<result>4</result>