Question

The greatest common factor of 114 and 190 is _____.



38

19

2

They are relatively prime.

Answer 1

(38)3= 114

(38)5= 190

Answer 2

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 :

$114=2\times3\times19,\\\\190=2\times5\times19.$

Therefore, the greatest common factor of 114 and 190 is given by

$G.C.D.(114,190)=2\times19=38.$

Thus, the required greatest common factor of 114 and 190 is 38.

Option (A) is CORRECT.