No.
12 has several :1, 2, 3, 4, 6 and 12
13, which is greater has only 1 and 13.
and the greater number does not have to be a prime for this to be true:
14 has 1, 2, 7 and 14.
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The greater of two numbers is 7 more than the lesser Three times the greater number is 5 more than 4 times the lesser number Find the numbers?
7
Lesser
5.1 is greater than 5.01
Greater