"greater gap" is correct and can be used in written English.
You can use it to refer to a larger space between two things. For example, "There has been a greater gap in the achievement of boys and girls in STEM subjects since the onset of the pandemic."
We've gotten an ever greater gap between rhetoric and reality inside large companies.
On no issue has there consistently been a greater gap between the people and the political class than Europe.
So as the crackdown infuriates protesters, there is a greater gap with their ostensible leader, political analysts said.
But the new report, published last month, carried a very different message: a projected rate of decline of 6.7%, which means a much greater gap to fill.
"With every passing day there is a greater gap between the two greats and the rest of the league in Spain," Valdano said.
Overall, we see stronger gains for ELLs and greater gap closings with those who are not ELLs prior to NCLB starting to take effect.
Densities of sugar maple seedlings and/or saplings were negatively associated with a combination of greater stand-scale densities of white-tailed deer (Odocoileus virginianus), greater gap-scale cover of non-tree vegetation, and lower gap-scale light availability, with deer density having the greatest effect.
She said, "I think this process is creating greater gaps in these children's life chances".
Occupations with a higher level (like those in finance and law) have greater gaps.
Due to quantum confinement effect, greater gaps are found in NWs with greater diameters.
It suggests the intrusion of oligarchy — the ever-greater gap, hard to imagine even thirty years ago, between people who have the money to buy art, and the human values that it frames, and the rest of us.
