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The prime factors of 18 are 2, 3 and 3 The prime factors of 30 are 2, 3 and 5 As 2 and 3 are common to both then they are common factors. Further, when numbers share common prime factors, any number which those factors can produce through multiplication is also a common factor of the two original numbers. In this case 2 x 3 = 6, so 2, 3 and 6 are common factors of 18 and 30.
True. By definition for two numbers to be relatively prime they must not share any common factors. So their greatest (and only) common factor would be 1.
No. They have more than just the number 1 as common factors. They also have the number 7. Relatively prime numbers only share the number 1 as a common factor.
Those numbers share no prime factors; therefore their greatest common factor is 1.
Two numbers are considered to be co-prime if they share no common prime factors, that is, if their GCF is 1.
Two numbers are considered to be co-prime if they share no common prime factors, that is, if their GCF is 1.
They are both prime numbers. As such they share no common factors save 1
330
The numbers 7, 3, and 2 share no common denominator. They are prime numbers.
No because they are composite numbers having more than two factors
They have only two factors.
Relatively prime numbers share no common factors other than 1.
The prime factors of 18 are 2, 3 and 3 The prime factors of 30 are 2, 3 and 5 As 2 and 3 are common to both then they are common factors. Further, when numbers share common prime factors, any number which those factors can produce through multiplication is also a common factor of the two original numbers. In this case 2 x 3 = 6, so 2, 3 and 6 are common factors of 18 and 30.
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.
Relatively prime numbers are numbers which share no common factors. This means the numbers are both the product of an entirely different set of prime numbers. There is no limit to the number of prime numbers. Thus there is no limit to the number of relatively prime pairs. Therefore there cannot be two "largest" relative primes.
All multiples of 9 share common factors with 9.