When a positive integer A is divided by 5 and 3, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 5 and 3, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)?	Choose the most appropriate option:
A) 8
B) 10
C) 12
D) 15
E) 18
A = 5k+1 = 3j+2   B = 5m+1 3 +2= 
<gadget id="calculator">3 +2</gadget>
<output>5</output>
5m+1= 3n+2   A-B = 5(k-m) = 3(j-n)   A-B is a multiple of both 5 and 3, so it is a multiple of 15.   The answer is 15.
<result>D</result>
When a positive integer A is divided by 5 and 3, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 5 and 3, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)?