PROBLEMA NUM: 5009 - CATEGORIA: mcd-mcm - DIFFICOLTA': ***

The city's youth commission wants to hold events for 10 students from Allenville High and 14 students from Kinley High. The commission would like the same combination of Allenville and Kinley students at each event, with no students left out or attending multiple events.
What is the greatest number of events that the commission can hold?