The GCF is 12.
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The common factors are: 1, 2, 3, 4, 6, 12.
The LCM is 72.
Most Common Factor, Greatest Common Factor, Highest Common Factor... all the same thing.
There is no "common factor" of 350, to have a common factor you must have more than one number, so there is no common factor of 350.
2 is a common factor.