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Hi Alex,
Are you implying anything by "remnant core". Omega Centauri is speculated (unproven) to be the remnant core of a dwarf galaxy. I'm not aware that 47 Tuc or M2 has been put in this category.
This info is from wikipedia, omitting error ranges ...
omega Centauri, distance 15800 ly, angular size 36', maybe 5000000 stars, diameter 172 ly.
47 Tucanae, distance 16700 ly, angular size 31', maybe 1000000 stars, diameter 120 ly.
M2, distance 37500 ly, angular size 16', maybe 150000 stars, diameter 175 ly.
In comparison, the Sagittarius globular M54 is 87400 ly away, angular size 12' and is thought to be 306 ly in diameter!
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