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Example: What are the common prime factors of 120 and 252?
Find the prime factorization of each number by breaking it down into the lowest possible numbers that can be multiplied together to make the original number.
120 = 2x60 = 2x2x30 = 2x2x2x15 = 2x2x2x3x5
252 = 2x126 = 2x2x63 = 2x2x3x21 = 2x2x3x3x7
Notice that there are 2 2's and a 3 in each factorization: the common prime factors are 2, 2, and 3.
What else can I help you with?
The common prime factors of 19 and 90 are?
19 and 90 have no common prime factors.
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.
What is the greatest common factor of 22 and 55?
The factors of 22 are 1, 2, 11, and 22. The factors of 55 are 1, 5, 11, and 55. The common factors are 1 and 11. Therefore, the greatest common factor is 11. The greatest common factor can also be find by determining the prime factors and multiplying the common prime factors together. The prime factors of 22 are 2 and 11. The prime factors of 55 are 5 and 11. The common prime factors are a single 11, so the greatest common factor is 11.
What is a common prime factor?
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.
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 prime factors do 10 and 90 have in common?
They have the prime factors 2 and 5 in common.
The common prime factors of 19 and 90 are?
19 and 90 have no common prime factors.
What are the common prime factors of 81 and 200?
81 and 200 have no common prime factors.
What are the common prime factors for 80?
The prime factors of 80 are 2 and 5. For them to be common, they need to be compared to another set of prime factors.
What is the common prime factors of 36?
The prime factors of 36 are 2 and 3. To be common, they need to be compared to another set of prime factors.
What are the prime factors in common of 18 and 90?
The prime factors of 18 are 2, 3, and 3. The prime factors of 90 are 2, 3, 3, and 5. The prime factors they have in common are 2, 3, and 3. Since 18 is a factor of 90, its prime factors will be the prime factors that the two numbers have in common.
Why is the common prime factors of 12 and 36 6?
The common prime factors are 2 and 3
What prime factors do 60 and 84 have in common?
2 and 3 are the only common prime factors
What are the common prime factors for 110?
The prime factors of 110 are 2, 5 and 11. For them to be common, they need to be compared to another set of prime factors.
What does common prime factors mean?
When two or more numbers have one or more of the same primes as factors, those prime factors are called common prime factors. For example, the prime factors of 6 are 2 and 3, and the prime factors of 21 are 3 and 7, so 3 is a common prime factor of 6 and 21.
What are all the common prime factors?
There are infinitely many prime factors.
What are com man prime factors?
All numbers have factors. Some factors are prime numbers. These are known as prime factors. Some numbers have some of the same prime factors as other numbers. These are known as common prime factors. 3 is a common prime factor of 12 and 15.
