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if we list the prime factors of both numbers we get the following:

2187 : 3 3 3 3 3 3 3

135405: 3 3 3 5 17 59

We can then take the product of whatever factors they both share. Since they both have 3 3's the product is 27.

This means that 27 is the largest number that will divide both 2187 and 135405

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Q: The greatest common devisor of 135405 2187?
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