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The gcf of 43 and 129 is 43, so the two digit number must be 43; however
the gcf of 86 and 129 is also 43, so the two digit number must be 86; however
the gcf of 22 and 86 is only 2 and the gcf of 22 and 43 is only 1, no neither 43 nor 86 has a gcf of 43!
Hint:
You cannot have a COMMON factor with only onenumber - common implies at least two numbers.
The greatest COMMON factor is the largest number that divides all the numbers and depends upon all the numbers - it makes no sense to ask for the greatest COMMON factor of a single number.
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