On Arbor Day, the teacher led 24 girls and 32 boys to plant trees in the botanical garden. The teacher divided these students into several groups with equal numbers of boys, and the number of boys in each group was equal. How many groups can they be divided into at most?
植树节这天，老师带领24名女生和32名男生到植物园种树，老师把这些学生分成人数相等的若干小组，且每个小组的男生人数都相等，最多可以分成多少组．
<gadget id="calculator">2 * 2 * 2</gadget>
<output>8</output>

<result>8</result>