co prime number define
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Two numbers are coprime if their highest common factor (or greatest common divisor if you must) is 1. You can have the set of positive integers which are coprime to a given number: for example those coprime to 12 are 1,5,7,11,13,17,19,23,25, and so on.
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When two numbers (they may not be prime) do not have any common factor other than one between them they are called co-prime or relatively prime.
It is obvious that two prime numbers are always co-prime. For example,
17
and
23
.
However, even two composite numbers can also be co-prime or relatively prime. For example
16
and
25
do not have any common factor other than one. Similarly
84
and
65
do not have any common factor and are hence co-prime.
Step-by-step explanation:
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