The numbers are 244 and 245.
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There are two consecutive even numbers. The numbers are 62 and 64.
The two consecutive numbers whose factors have the same sum are 8 and 9. The factors of 8 are 1, 2, 4, and 8, and their sum is 15. The factors of 9 are 1, 3, and 9, and their sum is also 15. Therefore, 8 and 9 are the consecutive numbers whose factors have the same sum.
61 & 62
The numbers are 87 and 89.
The numbers are 51, 52 and 53.