Greaterly
Greaterly is a rarely attested adverb in English. It appears to be a nonstandard or archaic coinage formed by adding the suffix -ly to the comparative adjective greater. In contemporary usage, greater is used as a comparative adjective (as in greater number or greater risk), and its adverbial forms are generally greatly or more greatly. Because greaterly is not listed in major dictionaries, it is not considered standard and is typically avoided in formal writing.
Usage notes and alternatives: When expressing degree or extent, the standard choices are greatly or more greatly,
Etymology and status: Greaterly would be formed by attaching -ly to the adjective greater, following a common
See also: greatly, more greatly, to a greater extent, greater, adverb formation.