Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE player_college ( college_id VARCHAR )
TABLE: CREATE TABLE college ( name_full VARCHAR, college_id VARCHAR )

### Question ###
what is the full name and id of the college with the largest number of baseball players?

### Accurate SQL ###

SELECT T1.name_full, T1.college_id FROM college AS T1 JOIN player_college AS T2 ON T1.college_id = T2.college_id GROUP BY T1.college_id ORDER BY COUNT(*) DESC LIMIT 1