511 and 667 when divided by the same number, leave the same remainder. How many numbers can be used as the divisor in order to make this occur?

511 and 667 when divided by the same number, leave the same remainder. How many numbers can be used as the divisor in order to make this occur?

• A. 14
• B. 12
• C. 10
• D. 8

 

The correct answer is option B. 12. Can you explain this answer in the comments?

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