You are organizing a college wide event where students will be attending a popular national opera. For the event you would like for students to be in groups if a certain size so they can take part in group discussions afterwards. There are two theaters available and both need to be filled to maximum capacity so every student can be in attendance. One theater seats 161 people and the other seats 294. What is the largest group size that would allow you to fill both of these theaters to capacity without breaking up any groups?