https://www.oregon.gov/doc/Pages/default.aspx. California has the California Department of Corrections, and Secretary Diaz is the head of this organization (2018 to present). CDCR oversees 34 adult institutions. For more information about CDCR, see https://www.cdcr.ca.gov/.
FBOP Regional Map
 The GEO Group, the other primary private prison company runs 136 correctional, detention, or reentry facilities.  Pictured below, roughly half of the 50 States in America use private prison industry prisons.
States Using Private Prison Industry
https://www.sentencingproject.org/publications/private-prisons-united-states/ and on NPR: https://www.npr.org/2010/10/28/130833741/prison-economics-help-drive-ariz-immigration-law