The GCF is 8n.
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That simply means that there is no integer solution to:24n = 12 For comparison, 4 IS a factor; so the equation: 4n = 12 DOES have an integer solution.
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A common multiple of 8 and 6 has the form 2 * 2 * 2 * 3 * n = 24n, where n is any whole number. The other factors are necessary to ensure that what you have is indeed a multiple of both 8 (2 * 2 * 2) and 8 (2 * 3). So for the first 3 common multiples you need to replace n with 1, 2 and 3, giving you 24, 48 and 72.