The largest number factorised on a quantum computer is 8,219,999 on a D-Wave machine (a quantum annealer, so not capable of running Shor's, but capable of being an actual shipping product you can use, unlike gate model machines).
https://www.nature.com/articles/s41598-024-53708-7
> Overall, 8,219,999 = 32,749 × 251 was the highest prime product we were able to factorize within the limits of our QPU resources. To the best of our knowledge, this is the largest number which was ever factorized by means of a quantum annealer; also, this is the largest number which was ever factorized by means of any quantum device without relying on external search or preprocessing procedures run on classical computers.
The D-Wave machine doesn't benefit from the quantum speedups discussed in the article
This is quantum annealing and it has nothing to do with Shor (I should have been precise sorry).
It is not clear at all that quantum annealing provides any speedup compared to a classical computer.
You should read the article you posted before you write a comment. Hint: check P_F=0 in tables 2, 3 and 4.
"Factored" is doing a lot of lifting here and is borderline deceptive. Plenty of researchers have long ago pointed out that this won't scale, see M Mosca for reference.