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The group should be-

  1. closed
  2. every element should have inverse
  3. the group should have an indentity element
  4. associative property should be followed

all these 4 properties are being followed in group 1 only but not in group 2.  Hence option B is correct 

NOTE: group 1 is the set of integers closed under addition and group 2 are the set of prime numbers closed under multiplication