When a positive integer A is divided by 11 and 7, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 11 and 7, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)?  Choose the correct choice from the following choices:
A) 18
B) 36
C) 50
D) 65
E) 77
A = 11k+1 = 7j+2   B = 11m+1 = 7n+2   A-B = 11(k-m) = 7(j-n)   A-B is a multiple of both 11 and 7, so it is a multiple of 77.   The answer is 77.
<result>E</result>
When a positive integer A is divided by 11 and 7, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 11 and 7, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)?