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Forum veteran Brutal Body Shots just wrote in a post:
There are only 3 factors that go into generating a credit score:
1 - The scoring model used (FICO 08, VS 3.0, etc)
2 - The bureau data used (EX, TU, EQ)
3 - The point in time that the first 2 pieces of data were used
If even one of those three things are different, the resulting scores could be very different. In the cases you actutally describe, at least two and most likely all three things were different.
OP, I would venture to guess that the scoring model and/or bureau data being compared here and likely the point in time as well are all different.
1 - When you were approved for the Discover card, which bureau was pulled? I believe they pull a FICO 08 score (the scoring model used).
2 - What scoring model and bureau data does Barclay use? It should say somewhere on the screen where you see your score.