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7 is a factor of 28 because 4 x 7 equals 28. 7 is a factor of 63 because 9 x 7 = 63. That makes 7 a common factor of 28 and 63. The factors of 28 that are larger than 7 are 14 and 28. The factors of 63 that are larger than 7 are 9, 21 and 63. Since none of those numbers are the same, that makes 7 the greatest common factor of 28 and 63.
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