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All numbers have factors. Some factors are prime numbers. A prime factor is a factor that is a Prime number. A common prime factor is a prime factor that appears on the list of factors of two or more given numbers.

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โˆ™ 2012-07-14 12:53:31
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Q: What is a common prime factor?
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Related questions

What is the common factor of co-prime number?

Co-prime numbers have a common factor of 1.


Which are the prime numbers with 1 as the common factor?

All prime numbers have a common factor of 1.


What is a common prime factor of 21 and 411?

It is 3 that is a common prime factor to both numbers


What is the least common factor of 24 and 28 prime factor?

The least common prime factor of 24 and 28 is 2.


Do you do a factor rainbow for greatest common factor?

You do a factor rainbow to find a prime factorization. You compare prime factorizations to find a greatest common factor.


What is the common prime factor of 9?

The prime factor of 9 is 3. For it to be common, it needs to be compared to another set of prime factors.


Is the greatest common factor of 22 and 64 relatively prime?

2 is the greatest common factor and it is prime


Are 100 and 202 relatively prime?

No, 100 and 202 are not relatively prime. Relatively prime numbers only have the number 1 as a common factor. The number 1 is a common factor for them, but the number 2 is another common factor that they have, so they are not relatively prime.


What is common prime factors?

All numbers have factors. Some numbers have some of the same factors as other numbers. These are common factors. If the factor is a prime number, it is a common prime factor. 3 is a prime number. 3 is a factor of 9. 3 is a factor of 12. 3 is a common prime factor of 9 and 12.


How do you find the greatest common factor of 45 using prime factorization?

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.


What number is the prime factor of 65 and 104?

The only common prime factor is 13.


Why do you need the common prime factors when finding the greatest common factor?

You do not necessarily need the common prime factors when finding the greatest common factor, but with large numbers or numbers for which you cannot easily determine all the factors, using prime factorization to determine the greatest common factor is the easiest method. The greatest common factor can then be determined by multiplying the common prime factors together. For example, when trying to find the greatest common factor of 2144 and 5672, finding all their possible factors to compare could be difficult. So, it is easier to find their prime factors, determine the prime factors they have in common, and then multiply the common prime factors to get the greatest common factor. For descriptions and examples of finding the greatest common factor, see the "Related Questions" links below.


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.


What is the prime factorization and the greatest common factor of 2456?

The prime factorization of 2456 is 2 x 2 x 2 x 307. There is not a greatest common factor. 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. Examples: The prime factorization of 36 is 2 x 2 x 3 x 3. The prime factors it has in common with 2456 are 2 and 2, so the greatest common factor is 2 x 2 = 4. The prime factorization of 921 is 3 x 307. The prime factors that it has in common with 2456 is 307, so the greatest common factor is 307.


What is the greatest prime factor of 40 and 63?

The greatest prime factor of 40 is 5. The greatest prime factor of 63 is 7. They do not have any prime factors in common.


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.


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.


When finding the greatest common factor of two numbers by using prime factorization the greatest factor is the what of the common prime factors?

product


What is the greatest common factor of 10 and 20 using prime factors?

The greatest common prime factor of 10 and 20 is 5.


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

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


What is the common prime factor of 6?

The prime factors of 6 are 2 and 3. For them to be common, they need to be compared to another set of prime factors.


What number which have no common factor?

All numbers have a common factor, even if it's only 1. Numbers whose greatest common factor is 1 are said to be relatively prime or co-prime.


Are 40 and 395 relatively prime?

No because their only common factor is not 1. Relatively prime numbers only have 1 as a common factor. They both have 1 but also 5 as a common factor.


How is the largest factor that 12 and 30 have in common related to the prime factors the two have in common?

The largest factor that 12 and 30 have in common is the product of the two prime factors they have in common.


Can a number be relatively prime to itself?

Two number are said to be "relatively prime" if they have no common factors - of course, other than the trivial factor 1. Even a prime number is not "relatively prime" to itself, since the prime number itself is the common factor. For example, the common factor of 7 and 7 is 7. Thus, the only situation I can think of where a number has no common factor with itself is that the number is 1.