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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 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 common factor 28 and 75 using prime factorization?
prime factors of 28 are: 2, 2, 7.prime factors of 75 are: 3, 5, 5.As 28 and 75 have no common prime factors, their greatest common factor is 1.
What is the greatest common factor of 63 81 and 99?
The greatest common factor of 63, 81, and 99 is 9.The prime factorization of 63 is 7*9.The prime factorization of 81 is 9*9.The prime factorization of 99 is 11*9.Thus, the greatest of the common factors of 9.
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.
How do you find the greatest common factor of 30135 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 factorization of 30135 is 3 x 5 x 7 x 7 x 41. The prime factorization of 98 is 2 x 7 x 7. The prime factors they have in common are 7 and 7, so the greatest common factor is 7 x 7 = 49.
What is the common factor for186 and156?
The prime factorization for 186 is: 2, 3, 31. The prime factorization for 156 is 2, 2, 3, 13. The common prime factors are: 2, 3. The greatest common factor is the product of common prime factors: 2 x 3 = 6.
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 37 and 93 using prime factorization?
37 is already prime. 3 x 31 = 93 No common prime factors, the GCF is 1.
What is the greatest common factor of 220 and 450?
The greatest common factor of 220 and 450 is 10The prime factorization of 220 is 2*2*5*11The prime factorization of 450 is 2*5*5*9The common prime factors are 2*5 =10
What is the gcf of 36 and 60 use prime factorization?
Prime factors of 36 are 22x32 Prime factors of 60 are 22x3x5 The greatest common factor of 36 and 60 is 4 (22).
How do you find out the common factors?
you use prime factorization
