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The phrase "The key factor" is correct and usable in written English.
It can be used when identifying the most important element or consideration in a particular situation or analysis. Example: "In determining the success of the project, the key factor was effective communication among team members."
Exact(59)
The key factor in reuniting, he said, was time.
The key factor for the deep-lying players?
The key factor had been the defection of the military.
The key factor behind the prevalence of aggressive driving is congestion.
"The key factor driving them right now is just the excess inventory.
The key factor is the ratio of hydrogen to carbon in a fuel.
"The key factor will be turnout," said Dave Woodard, a professor of political science at Clemson.
The key factor for success, however, remains run offense and run defense.
The key factor separating geniuses from the merely accomplished is not a divine spark.
The key factor in the gang's hegemony was its control of female correctional officers.
"The key factor is the regulatory environment rather than input cost".
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com