Are 7 13 and 91 factors of both 1274 and 1365?

Yes. The answers for 1274 are:

1274 / 7 = 182

1274 / 13 = 98

1274 / 91 = 14

The answers for 1365 are:

1365 / 7 = 195

1365 / 13= 105

1365 / 91 = 15

(If you have that question followed by "Explain.", then you should put the answers for each each number instead of writing a page or two (unless your instructor said to do so). In middle school algebra, I would recommend putting the answers for the numbers instead of a page of Words.)