What is the minimum width of an egress/entrance door? Is it 32 or 36 inches?
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Here is a table from the International Building Code (modified for Florida).
According to this the only egress doors that are required to be wider than 32", are
However, building codes can vary from location to location, and can be adapted by state, city, and town. To be sure what is used in your area, you'll have to contact your local government.
keep in mind that the 32" is the Minimum Clear Opening, so a 32" door may or may not be adequate.
More information on how to measure egress openings is available in section 1003.2 Measurement of means of egress, in the document linked above.
Here's the section on doorways.