If N=23×34 , M= 22×3×5, then find the number of factors of N that are common with the factors of M.

A: 20
B: 18
C: 6
D: 8

• can't getting que plz eleborate
• 11 years agoHelpfull: Yes(7) No(6)
• N= 23x34 = 282
  M= 22x3x5= 330
  HCF of N and M will be the highest common factor then ans will be 6
• 10 years agoHelpfull: Yes(2) No(6)
• 6 is the ans
• 10 years agoHelpfull: Yes(0) No(1)
• HCF of N and M is 6, so common factor of N and M should be less than and equal to 6.But 5 wil not be the common factor because N unit digit not 5 or 0. so the answer should be 5 (1,2,3,4,6).
• 9 years agoHelpfull: Yes(0) No(2)
• N=2^3*3^4
  M=2^2*3*5
  2 AND 3 ARE COMMON TO BOTH TAKE THE LOWEST POWER OF COMMON FACTOR.
  SO , 2^2*3 I.E. (2+1)*(1+1)=3*2=6
  ADDING 1 TO THE LOWEST POWERS GIVES THE NUMBER OF COMMON FACTORS IN BOTH THE NUMBERS.
• 4 years agoHelpfull: Yes(0) No(0)