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Which of the following are co-prime. a) 9 and 13 b) 15 and 25 |
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Answer» a) Factors of 18 = 1, 2, 3, 6, 9,18Factors of 35 = 1, 5, 7, 35Common factor =1Since , both have only one COMMON factor, i.e., 1, therefore, they are co-prime numbers.(b) Factors of 15 = 1, 3, 5,15Factors of 37 = 1, 37Common factor = 1since, both have only one common factor, i.e., 1, therefore, they are co-prime numbers.(c) Factors of 30 = 1, 2, 3, 5, 6, 15, 30Factors of 415 = 1, 5, 83, 415Common factor = 1,5Since , both have more than one common factor, therefore, they are not co-prime numbers(d) Factors of 17 = 1, 17Factors of 68 = 1, 2, 4, 17, 34, 86Common factor = 1, 17Since, both have more than one common factor, therefore, they are not co-prime numbers(e) Factors of 216 = 1, 2, 3, 4, 6, 8, 36, 72, 108,216Factors of 215 = 1, 5, 43, 215Common factor =1Since, both Have only one common factor, i.e , 1 , therefore they are co-prime numbers. |
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