The common factors of 288 and 420 are 1, 2, 3, 4, 6 and 12.
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3
3 is the only common factor.
Factors of 232: 1, 2, 4, 8, 29, 58, 116, 232.Factors of 268: 1, 2, 4, 67, 134, 268.Factors of 288: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288.GCF (232, 268, 288) = 4
Any of its factors
360, 420 and 480 all have 24 factors.