There is no greatest common multiple.
Whatever number is considered to be the greatest common multiple of 96 and another number, the addition of the lowest common multiple of 96 with that number will generate an even greater common multiple.
The LOWEST common multiple of 96 with another number depends upon the other number, but it will be one of the multiples of 96, namely one of:
96, 192, 288, 384, 480, 576, 672, 768, 864, 960, 1056, 1152, 1248, 1344, 1440, 1536, 1632, 1728, 1824, 1920, 2016, 2112, 2208, 2304, 2400, 2496, 2592, 2688, 2784, 2880, 2976, 3072, 3168, 3264, 3360, 3456, 3552, 3648, 3744, 3840, 3936, 4032, 4128, 4224, 4320, 4416, 4512, 4608, 4704, 4800, 4896, 4992, 5088, 5184, 5280, 5376, 5472, 5568, 5664, 5760, 5856, 5952, 6048, 6144, 6240, 6336, 6432, 6528, 6624, 6720, 6816, 6912, 7008, 7104, 7200, 7296, 7392, 7488, 7584, 7680, 7776, 7872, 7968, 8064, 8160, 8256, 8352, 8448, 8544, 8640, 8736, 8832, 8928, 9024, 9120, 9216, 9312, 9408, 9504, 9600, ...
Similarly the greatest common FACTOR of 96 and another number depends on that other number, but it will be one of the factors of 96, namely one of:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.
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This cannot be answered because the common multiples of any two or more numbers are infinite.
There are no greatest common multiples only greatest common factors
28 multiples are 7,4,1,2,14,28, 63 multiples are 1.63.3.3.7 greatest is 7
The least common multiple is 30. The greatest common factor is 3.
96, 144, 192, 240, etc.