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The phrase "a common factor between" is correct and usable in written English.
It can be used when discussing shared elements or characteristics that exist among two or more subjects or entities.
Example: "The study revealed a common factor between the two groups that contributed to their success."
Alternatives: "a shared element among" or "a mutual aspect between".
Exact(8)
The attendees came from diverse backgrounds and schools and, although weary from their first year as a fully-fledged teacher, had a fresh-faced enthusiasm as a common factor between them.
There's a common factor between these three: each time, the subject was something they knew at first-hand – they were talking about their constituents and the enormity of Westminster's failure to understand and respond to their needs.
Due to the requirement of having a periodic slot allocation schedule, we need to find a common factor between the fractions that represent the requests of the different sensors.
The lexical density estimates reported by Zhou showed an insignificant difference between the computer mode (62%) and face-to-face mode (63%); this supports the current finding that there is a common factor between performances in the two modes.
Our data showed that a common factor between these two traits correlated with attention to fearful eyes.
We considered that a common factor between neuroticism and conscientiousness may account for time spent looking at the eyes for various emotions.
Similar(52)
And firewalls can be configured to prevent unauthorised use of peer-to-peer and instant-messaging services.All these threats arise from a common factor: the distinction between the "public" parts of a company's network (such as the web servers where its home page resides) and the private core (which is accessible only to employees) is quickly eroding.
Figure out if there is a greatest common factor between the denominators by dividing each denominator numeral into its factors.
By using a "common factor" theory of the relationship between the DSM and the generic QOL, we define the circumstances under which indirectly estimated generic QOL is more efficient than the direct one and when a pooled QOL estimate is more efficient than the DSM estimate.
It's also possible that a common factor could be responsible for the link between teeth and memory.
We initially prevented overflow in integer calculations, such as abc/ de for Equations (17) and (18), by canceling all common factors between each variable in the numerator and each variable in the denominator.
More suggestions(1)
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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