How to get only matching rows in Full Outer Join

HI All,
I was recently asked this question.
How to fetch only matching data from two tables using Full Outer Join. Now, I understand that this is not the objective of using Full Joins but I was wondering whether this is possible or not.
Any help in this regard will be highly appreciated.

Full outer join returns both matching and not matching rows, if you want only matching rows why you don't use INNER JOIN?
The following query does an INNER JOIN using a FULL JOIN which I think it doesn't make any sense.
SELECT *
FROM
A FULL OUTER JOIN B
ON A.ColumnName = B.ColumnName
WHERE
A.ColumnName IS NOT NULL
AND B.ColumnName IS NOT NULL
EntityLite: A Lightweight, Database First, Micro ORM

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