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*3*19,\\\\190=2*5*19.`

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

`G.C.D.(114,190)=2*19=38.`

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

Option (A) is CORRECT.