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.
If the prime factorizations contain no factors in common (their GCF is 1), the numbers are relatively prime.
2 x 2 x 2 x 5 = 40 2 x 7 x 7 = 98 The GCF is 2. The numbers are not relatively prime.
Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.
If the prime factorizations have no prime factors in common, the numbers are relatively prime.
let's have two numbers a and b and a set of primes (pi) Suppose a = pa pa+1pa+2... and b = pb pb+1 pb+2... If at least one pi in both factorization is in common then the two numbers are not coprime (relatively prime), if none is in common then they are coprime
Yes, if they have no common factors. Do the prime factorization for two numbers, and check whether they have, or don't have, common factors. Example: let one of the numbers be 2 x 3, the other 52. Since none of the numbers shares factors with the other one, they are relatively prime.
Coprimes, or relative primes, are two or more numbers that share no common divisors. To determine whether numbers are relatively prime, find their greatest common denominaotr. If it's one, they're coprime.
I suggest factoring each pair of numbers, and checking whether they have, or don't have, common factors. A pair of numbers is said to be "relatively prime" if they have no common factors (their greatest common factor is 1). For larger numbers, Euclid's algorithm could be used, but for such small numbers, factoring is probably faster.
Two numbers are relatively prime if they have no common factor other than 1. Equivalently, if their highest common factor is 1.
A pair of prime numbers are always relatively prime, whether they are consecutive or not. This is so because "relatively prime" means they have no common factors.
If the prime factorizations have no factors in common, the LCM is the product of them.
No. A number by itself cannot be relatively prime. You need at least two numbers to say whether they are relatively prime or not, which is when their only common factor is 1.