SOLUTION: What is the greatest common factor of all two-digit palindromes?

Algebra ->  Algebra  -> Real-numbers -> SOLUTION: What is the greatest common factor of all two-digit palindromes?      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 8144: What is the greatest common factor of all two-digit palindromes?
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Well, since the two-digit palindromes are:
11, 22, 33, 44, 55, 66, 77, 88, 99 and each one of these is a multiple of 11, I'd say that 11 is the GCF of all of them. Let's have a look at the prime factors:
11 = 1 X 11
22 = 2 X 11
33 = 3 X 11
44 = 2 X 2 X 11
55 = 5 X 11
66 = 2 X 3 X 11
77 = 7 X 11
88 = 2 X 2 X 2 X 11
99 = 3 X 3 X 11
So you can see that 11 is the GFC.