Explanation:

To find the HCF (Highest Common Factor) of 238 and 832, you need to list down the factors of both numbers and find the largest common one. Here’s the process:

- Factors of 238: 1, 2, 7, 14, 17, 34, 119, 238

- Factors of 832: 1, 2, 4, 8, 16, 26, 32, 52, 104, 208, 416, 832

- The common factors are 1 and 2.

- The largest common factor is 2.

Now let's evaluate the options:

- Option 1: 16 - Not a common factor.

- Option 2: 8 - Not a common factor.

- Option 3: 2 - This is the correct choice.

- Option 4: 14 - Not a common factor.

Therefore, Option 3: 2 is the correct answer.