What is the common factor of (47^43 + 43^43) and (47^47 + 43^47) ?

• So here it is:
  
  When n is odd, (x^n + a^n) is always divisible by (x + a).
  
  Each one of (47^43 + 43^43) and (47^47 + 43^43) is divisible by (47 + 43).
  
  Answer is :90
  Hence 90 is the common factor
• 11 years agoHelpfull: Yes(33) No(1)
• [(43+4)^47+43^43] 43 is comman to this.now [ (43+4)^47+43^47 ] similarly 43 is comman to this.now from both we clearly see that 43 is comman factor.
  
  ans. 43 is comman factor
• 11 years agoHelpfull: Yes(2) No(10)
• it can be written as
  ((45+2)^43+(45-2)^43) and ((45+2)^47+(47-2)^47)
  so,common factors are 45,9,5,3
  
• 11 years agoHelpfull: Yes(2) No(0)
• let a=47 nd b=43
  
  (a^b+b^b) nd (a^a+b^a)
  take common
  b(a+b) nd a(a+b)
  finally
  (a+b)
  a=47 nd b=43
  ans is 90
• 11 years agoHelpfull: Yes(2) No(0)
• it can be written as
  ((45+2)^+(45-2)^) and ((45+2)^47+(47-2)^47)
  so 45 is the common factor
  
  
  
• 11 years agoHelpfull: Yes(1) No(1)
• what would be the solution if n is even..??
• 11 years agoHelpfull: Yes(1) No(0)
• if n is even then??
• 11 years agoHelpfull: Yes(0) No(0)