That would be 960 cf assuming 8 ft ceilings.
Can you use bathroom fan in kitchen.
So if you have an 8 foot x 10 foot bathroom you would need at least an 80 cfm fan.
The trick is to simply exhaust this air from the fans directly to the exterior of your home.
You cannot by code and should not by practical reasoning share exhaust venting between a kitchen exhaust and a bathroom exhaust fan.
You say the kitchen is 120 sf but you need to take in to account the height.
Depending on your usage you might consider a slightly larger fan to make sure you have enough power to clear the room.
The general rule is 1 cfm per square foot of space with standard 8 foot ceilings.
Bathroom and kitchen exhaust fans also can transmit large volumes of moist humid air into the attic or other confined spaces.
An alternate approach is to use a ducted range hood or downdraft exhaust and a bathroom ventilation fan to exhaust the general odors and moisture in the kitchen.
This would be the minimum ventilation.
This can lead to wood rot mold and mildew.
Fans installed above kitchen ranges must be listed for that application by ul and must be designed to handle grease and high temperatures.