2, 3, 4, 6, 12, and 18?
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The mistake is that there is a greater common factor than 18. It's 36. 36 divides 36 evenly. 36 divides 72 evenly.
18 divides evenly into an infinite number of integers. The pattern starts with: 18, 36, 54, 72, 90, 108, 126, 144 . . . to infinity.
9
1, 2, 3, 4, 6, 9, 12, 18, 36.
9 divides both 36 and 45 equally. with no remainders.