A farmer wants to partition a rectangular 24 feet by 30 feet garden into smaller square plots. What is the length, in feet, of the sides of the largest square plots into which the farmer can partition the garden so that no land is left over?

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A farmer wants to partition a rectangular 24 feet by 30 feet garden into smaller square plots. What is the length, in feet, of the sides of the largest square plots into which the farmer can partition the garden so that no land is left over?