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The greatest common factor of two different prime numbers is 1. The two prime numbers have as their factors, 1 and themselves. That means that 1 is the only factor they have in common.

The GCF is 1.

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If they are two different prime numbers, their greatest common factor is 1.

If there are no common factors - and that is the case with any two prime numbers - the GCF is 1.

Q: What is the greatest common factor of two prime numbers?

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Because both numbers are prime numbers, the only common factor they have is 1. Therefore, the greatest common factor is 1. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 5 are 1 and 5. The factors of 23 are 1 and 23. The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factor of 5 is 5. The prime factor of 23 is 23. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.

The only factors of 2 are 1 and 2, so the greatest common factor is 2 if the other number is even or 1 if it is not. 211 is not even. Therefore, the greatest common factor is 1. Another way to solve this is by knowing that when both numbers are prime numbers, the greatest common factor is 1. Both 2 and 211 are prime numbers, so their greatest common factor is 1. One more way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 2 are 1 and 2. The factors of 211 are 1 and 211. The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factor of 2 is 2. The prime factor of 211 is 211. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.

The greatest common factor of 54 and 99 is 9, which is not prime. The greatest common factor of 80 and 114 is 2, which is prime.

You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factors of 45 are 3, 3, and 5. The prime factors of 60 are 2, 2, 3, and 5. The common prime factors are 3 and 5, so the greatest common factor is 3 x 5 = 15.

Since 3 is a prime number, either it or 1 is the greatest common factor. Since 3 is not a factor of 14, the greatest common factor is 1. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 3 are 1 and 3. The factors of 14 are 1, 2, 7, and 14. The only common factor is 1. Therefore, the greatest common factor is 1. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factor of 3 is 3. The prime factors of 14 are 2 and 7. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1. Summary of results: The common factor is 1. The greatest common factor is 1. The numbers are relatively prime.

Related questions

The greatest common factor of two or more prime numbers is 1.

If the greatest common factor is 1, then the numbers are said to be co-prime or relatively prime.

Because both numbers are prime numbers, the only common factor they have is 1. Therefore, the greatest common factor is 1. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 5 are 1 and 5. The factors of 23 are 1 and 23. The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factor of 5 is 5. The prime factor of 23 is 23. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.

Yes. The greatest common factor of 4 and 10 is 2, which is a prime number. The greatest common factor of 51 and 81 is 3, which is a prime number.

Prime numbers and numbers that are relatively prime.

The numbers are relatively prime, or co-prime.

A prime number

Since they are both prime numbers - the greatest common factor is 1 !

The greatest common factor of 54 and 99 is 9, which is not prime. The greatest common factor of 80 and 114 is 2, which is prime.

The only factors of 2 are 1 and 2, so the greatest common factor is 2 if the other number is even or 1 if it is not. 211 is not even. Therefore, the greatest common factor is 1. Another way to solve this is by knowing that when both numbers are prime numbers, the greatest common factor is 1. Both 2 and 211 are prime numbers, so their greatest common factor is 1. One more way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 2 are 1 and 2. The factors of 211 are 1 and 211. The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factor of 2 is 2. The prime factor of 211 is 211. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.

Yes, the greatest common factor of two different prime numbers is always 1

No.