Answer: The correct option is
(A) 38.
Step-by-step explanation: We are given to select the correct greatest common factor of 114 and 190.
We will be writing the prime factorization of both the numbers as follows :
[tex]114=2\times3\times19,\\\\190=2\times5\times19.[/tex]
Therefore, the greatest common factor of 114 and 190 is given by
[tex]G.C.D.(114,190)=2\times19=38.[/tex]
Thus, the required greatest common factor of 114 and 190 is 38.
Option (A) is CORRECT.
