Edythe C. Schumacher, 66, a retired federal government secretary who was vice president of the Maryland State Federation of Retired Federal Employees, died of cancer Thursday at Prince William Hospital in Manassas. She lived in Oxon Hill.

She was born in Flat River, Mo., and came to Washington in 1937. She became a secretary for the Office of Price Administration and later was a secretary to the general consel of the U.S. Air Force. She retired in 1970 as a secretary with the Federal Aviation Administration.

Mrs. Schumacher was elected vice president of the Maryland Federation of NARFE in 1979. She had served earlier as president of Chapter 1260 in Prince George's County. Both the state and national organizations had honored her recently for her work in membership recruitment and in starting new chapters.

She also was a past president of Montgomery County Chapter 460 of the American Association of Retired Persons.

Her husband, Joseph G. Schumacher, a government employe, died in 1971.

She is survived by two brothers, Herbert Coffer of Broad Run, Va., and William Coffer of Fullerton, Calif., and three sisters, Anita Martin of Cape Girardeau, Mo., Naomi Drach of Shepard, Tex., and Jean Blake of Houston.

The family suggests that expressions of sympathy be in the form of contributitions to the American Cancer Society.