Relatively Prime Numbers (Coprimes, Mutual Primes) | Pre-Algebra
CORRECTION: I said the only factors of 15 are 1, 3, and 5. I forgot to include 15, which is indeed a factor of 15. Thanks to Alex Faus in the comments for pointing this mistake out.
Pre-Algebra Course: • Pre-Algebra
Pre-Algebra Exercises: • Pre-Algebra Exercises
Prime numbers are extremely cool, and it turns out they have a slightly less cool cousin called relative primes, relatively prime numbers, mutual primes, mutually prime numbers, coprimes, or coprime numbers. What are relatively prime numbers? We go over that in this math lesson. Relatively prime numbers, mutual primes, or coprimes, are number which have no common factor greater than 1. For example, the factors of 6 are 1, 2, 3, and 6. The factors of 7 are 1 and 7, so the only common factor 6 and 7 have is 1. Therefore, they are relatively prime. 4 and 6 are not relatively prime because their largest common factor is 2. 1 and -1 are the only numbers relatively prime to every number, because they are the only numbers (we are only considering integers) whose largest factor is 1. Additionally, 1 and -1 are the only numbers relatively prime to 0.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
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