I am unable to find the proper mysql function but am trying to find the maximum number of a times a single record appears within a database relative to all other records.
Can't nest directly, otherwise you'll get a grouped max. Nest the selects instead.
select max(c) from ( select count(*) c group by .. whatever ... ) x
SELECT MAX(MAX_COUNT) FROM (SELECT COUNT(COLUMN_NAME) AS MAX_COUNT FROM TABLE_NAME GROUP BY COLUMN_NAME)