Don't try it...
It will certainly hard brick ur core as specs of both phones are different. Hard brick means ur phone will not even switch on, then how can you flash stock firmware.
Press thanks if I helped u.
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I read somewhere that somebody flash the cyanogen mod (dont know which version) for ace2 on galaxy sduos 2 and it worke like charm..thatz why I asked this question. .if I find a Samsung phone with same cpu, same architecture as that of galaxy core..then can we expect that cyanogen for that phone will work on core????