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Are 2 and 3 relatively prime numbers?

Updated: 4/28/2022
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13y ago

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Yes. In general, if you have two different prime numbers, they will also be relatively prime.

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13y ago
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Q: Are 2 and 3 relatively prime numbers?
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What is the greatest common factor of numbers using prime factorization. then tell whether they are relatively prime?

Example: 4 and 9 2 x 2 = 4 3 x 3 = 9 No common prime factors. The GCF is 1. The numbers are relatively prime.


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Two numbers which are "relatively prime" have no common prime factors. To illustrate, let's write several numbers in terms of their prime factors: 24 = 2 x 2 x 2 x 3 25 = 5 x 5 42 = 2 x 3 x 7 70 = 2 x 5 x 7 You can see that 24 and 25 are relatively prime, because they don't share any common prime factors. Likewise, 25 and 42 are relatively prime. 24 and 42, however, are NOT relatively prime because they share the common factors of 2 and 3. Likewise 25 and 70 are NOT relatively prime because they share the common factor 5. When a fraction is in its simplest form, the numerator and denominator are relatively prime.


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