Relatively Prime
Pronunciation: /ˈrɛl.ə.tɪv.li praɪm/ Explain
Two positive
integers
greater than 1 are relatively prime if
their greatest common factor is 1. To determine if two integers are
relatively prime:
- Find all common factors of the two integers.
- If there are any common factors except 1, the
two integers are not relatively prime.
- If there are no common factors except 1, the
two integers are relatively prime.
How to Tell if Two Integers are Relatively Prime
- Are 5 and 9
relatively prime?
- The factors of 5 are 1
and 5.
- The factors of 9 are 1,
3 and 9.
- There are no common factors, so 5 and
9 are relatively prime.
- Are 6 and 15 relatively
prime?
- The factors of 6 are 1,
2, 3, and
6.
- The factors of 15 are 1,
3, 5, and
15.
- Since 3 is a common factor,
6 and 15 are
not relatively prime.
References
- McAdams, David E.. All Math Words Dictionary, relatively prime. 2nd Classroom edition 20150108-4799968. pg 155. Life is a Story Problem LLC. January 8, 2015. Buy the book
Cite this article as:
McAdams, David E. Relatively Prime. 5/2/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/r/relativelyprime.html.
Image Credits
Revision History
5/2/2019: Changed equations and expressions to new format. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
12/5/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra app. (
McAdams, David E.)
5/5/2011: Initial version. (
McAdams, David E.)