Row Count/Identity Type Processing In SSIS

I've got a falrly simple task I'd like to achieve in SSIS without scripting if possible.

I have a table with three columns, Cust ID, Address and Group ID
I want to update the Group ID with a counter that increments every time the Address changes.

So currently the table looks like

Cust ID Address Group ID
62 ABC
57 DEF
79 DEF
42 GHI
11 JKL
20 JKL

and I want to end up with

Cust ID Address Group ID
62 ABC 1
57 DEF 2
79 DEF 2
42 GHI 3
11 JKL 4
20 JKL 4

I have created a view over this table that counts and Groups by address. This looks like

Count Address
1 ABC
2 DEF
1 GHI
2 JKL


What I'm thinking of doing is reading the View in Address order and updating the table (joining on Address) with a counter that increments for every row of the View read.

What I'm not sure of is how to increment this counter without creating a script. One thought I had was to create a new table from the view, and add an Identity column somehow (is this feasible in SSIS?)

Any advice appreciated