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'the most influential factor' is correct and usable in written English.
You can use it when you are referring to one important element in a particular situation. For example, "The most influential factor in my decision to move to a new city was the availability of good job opportunities."
Exact(60)
"The most influential factor in the increase in independent living is improvements in the economic situation," Professor Hiroshima said.
The radio range is still the most influential factor.
Gasification temperature was found to be the most influential factor.
Finally, the most influential factor for each VFA was demonstrated.
Self-fulfillment was the most influential factor among WHT attributes.
The sulphide to copper molar ratio was the most influential factor.
(2013), financial performance is the most influential factor in the investment decision-making process.
The CPU time used and utilisation rates are typically the most influential factor.
Bladder catheterization (CV) is the most influential factor for developing an UTI.
Membrane pore diameter (membrane porosity) is found to be the most influential factor.
Besides, bump height is the most influential factor on the filling time in both dispensing patterns.
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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