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Q: I need to know which pair of numbers in relatively prime 10 and 21 or 12 and 54 or 15 and 27 or 21 and 38?

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For relatively prime numbers to exist, there need to be two or more numbers to compare.

Two (or more) numbers are relatively prime if they do not have any factors in common. The numbers need not be prime numbers. Thus 24 and 35 are not prime numbers but they are relatively prime since 24 = 23*3 and 35 = 5*7 have no factors in common.

No, they need not be.

The question is incomplete. A single number cannot be relatively prime. Two numbers are relatively prime *to each other* if their only common factor is 1, such as the numbers 21 and 11. A similar question would be "How far is it to London?" You need to know the other piece of information such as "From where?" Now, 62 is going to be relatively prime to many numbers, since it only has factors of 2 and 31, so all odd numbers that are not multiples of 31 are going to be relatively prime to 62.

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.

Two [or more] numbers are said to be relatively prime or coprime if they have no factor in common [other than 1]. They need not be prime numbers.Equivalently, a set of numbers is relatively prime if and only if their GCF is 1.Thus, 2*7 = 14 and 3*5 = 15Neither 14 nor 15 is a prime but they are relatively prime since they do not have a factor in common.

No. The concept of prime is defined only for natural numbers greater than 1.

There is no need to do prime factorization as prime numbers are already prime. You do not need to find the prime numbers that when multiplied together create the number.

You need several pairs of numbers in the question. Instead, there is only one number.

You need to check whether they have a common factor. You can simply factor each of the numbers; for numbers that are much larger, using Euclid's algorithm is much faster.If the common factor of two numbers is greater than 1, then they are NOT relatively prime.

Any two numbers who are relatively prime will workSo look at 9 and 4. Neither is prime and their GCD is 1.You must need two numbers with NO other factors in common.

There is no need to do prime factorization as prime numbers are already prime.

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