A private gym is typically owned by an individual or a small group of people and is often located in a home, a dedicated space or in a private building, while a commercial gym is usually a larger facility open to the public, often located in commercial spaces such as malls or strip malls, and owned by a larger corporation or business.

The key differences between a private gym and a commercial gym are:

Membership: Private gyms usually have a limited membership and are often exclusive to the owner and their guests, while commercial gyms typically have a larger membership and are open to the general public.

Size and equipment: Private gyms are generally smaller and have a limited amount of equipment compared to commercial gyms. Commercial gyms usually have a wider range of equipment, including weight machines, cardio machines, free weights, and group fitness classes.

Cost: Private gyms tend to be more expensive compared to commercial gyms, since the cost of maintaining the gym is borne by the owner, and it is not subsidized by a large membership base.

Personalization: Private gyms offer a more personalized experience compared to commercial gyms, since the owner can tailor the gym to their own specific needs and preferences. Commercial gyms, on the other hand, often cater to a wider range of individuals and have more standardized facilities and equipment.

Privacy: Private gyms offer a higher level of privacy and often have fewer people working out at any given time, while commercial gyms can be crowded, especially during peak hours.

In summary, private gyms are typically smaller, more exclusive, and offer a more personalized experience, while commercial gyms are larger, more affordable, and offer a wider range of equipment and classes to a larger membership base.