This is the 7628th most frequent German word.
gröger
"Gröger" is not a standard German word; it may be a surname or a misspelling.
Here, 'größerer' is used as a comparative adjective to describe the cake's size in comparison to others.
Ich finde den größeren Kuchen besser.
I find the bigger cake better.
In this sentence, 'größerer' is utilized to compare the height of the men shown in the image.
Der größere Mann auf dem Bild trägt eine Brille.
The taller man in the picture is wearing glasses.
The adjective 'größeres' indicates the necessity for a larger-sized vehicle suitable for traveling.