American bottom bracket sizes are standard. Meaning, all one piece crank bb's are the same size, at least from the 30's on.
More or less.
That being said, the makers of bottom brackets aren't exactly the same, tubing thickness on the bb shell isn't always the same, and other minor differences contribute to not all cups fitting all frames.
The difference in cup sizes vary by a millimeter or two from brand to brand.
Schwinn is probably better at keeping theirs the same size, because of the massive amounts of bikes they produced.
So, yeah, yours should be the same as your 26. As said above, only the cranks (and usually chainrings) are smaller. Cranks for ground clearance, and chainrings for easier pedaling, chainguard fitment, etc.