Base factor

In arithmetic, base factors are factors of a power that are also a factor of the root. For example, the power 16 has the factors 1, 2, 4, 8, and 16.
Since 16 is either a power of 2 or 4 we specify by saying "Base factor (type of power) #" as 'Bf (4) 16' for 2 or 'Bf (2) 16' for 4 . Base factor (4) 16 renders 1 and 2; Base factor (2) 16 renders 1, 2, and 4. This shows that 8 and 16 are non-Base powers of 16. And the base factors of 16 are 1, 2, and , for 4 , 4.
Uses
Base factors are currently being used to help prove or disprove beal's conjecture by hoping to demonstrate that the sum of two added integer powers without any common base factors does or does not render an integer power.
 
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