How many positive factors do 180 and 96 have in common?

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问题 How many positive factors do 180 and 96 have in common?

选项 A、6
B、12
C、16
D、18
E、24

答案A

解析 The positive factor pairs for 180 are: 1 and 180, 2 and 90, 3 and 60, 4 and 45, 5 and 36, 6 and 30, 9 and 20, 10 and 18, and 12 and 15. The positive factor pairs for 96 are: 1 and 96, 2 and 48, 3 and 32, 4 and 24, 6 and 16, and 8 and 12. They have 1, 2, 3, 4, 6, and 12 in common for a total of 6 factors.
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