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Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factors of 64: 1, 2, 4, 8, 16, 32, 64

Factors of 88: 1, 2, 4, 8, 11, 22, 44, 88

The common factors of 24, 64, and 88 are: 1, 2, 4, and 8.
TSO
First find the factors of each number:   

24: 1, 2, 3, 4, 6, 8, 12, and 24

64: 1, 2, 4, 8, 16, 32, and 64

88: 1, 2, 4, 8, 11, 22, 44, and 88

1, 2, 4, and 8 are the common factors of 24, 64, and 88.