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# What is the greatest common factor of two or more prime numbers?

Updated: 10/18/2022

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

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11y ago
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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: What is the greatest common factor of two or more prime numbers?
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### When the greatest common factor of two numbers is 1 then the two numbers are said to be what?

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

### What is the greatest common factor of 5 and 23?

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.

### Can the greatest common factor of two numbers be prime?

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.

### What is the greatest common factor of two prime numbers?

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.

### What set of numbers has a greatest common factor of 1?

Prime numbers and numbers that are relatively prime.

### If the greatest common factor of two numbers is one what can you say about the number?

The numbers are relatively prime, or co-prime.

A prime number

### What is the common and greatest common factor of 13 and17?

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

### Which pair of numbers has a greatest common factor that is a prime number 54 and 99 or 80 and 114?

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.

### What is the greatest common factor of 2 and 211?

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.

### Is the greatest common factor of two different prime numbers always 1?

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

No.