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What is the product of all of the prime factors?
That's the prime factorization.
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 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.
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.
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 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
Whats the greatest common factor of 9 and 112?
The prime factorization of 9 is 3*3. The prime factorization of 112 is 2*2*2*2*7. Therefore, they have no common factors, except for 1.
What is the greatest common factor of 420 735 and 945?
The GCF of 420, 735, and 945 is 105.The prime factorization of 420 is 2x2x3x5x7The prime factorization of 735 is 3x5x7x7The prime factorization of 945 is 3x3x3x5x7(1) List the prime factors of each number.(2) Multiply those factors all numbers in the set have in common. If there are no common prime factors, the GCF is 1. (Those factors are the ones in bold type.)As you can see the GCF is 3x5x7 or 105
What has prime faccorisation got to do with least common multiple and greatest common factor?
Prime factorization tells you what prime numbers multiply to get the number. You can see which numbers that number is divisible by to get the multiples and factors.
