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How does finding the prime factorization of a group of numbers help you to find their greatest common factor?
Wiki User
∙ 14y ago
If you take all the common prime factors between numbers and multiply them it will give you the gcf.
Wiki User
∙ 14y ago
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If your finding the Greatest Common Factor of 2 given numbers and the smallest number is a factor of a larger number then what must the Greatest Common Factor be?
the smaller number
Find the greatest common factor of 30 using prime factorization?
A single number cannot have a greatest common factor because "common" refers to factors that two or more numbers have in common. You have only one number.
What is the greatest common factor of 15 and 38?
1 is the greatest and only common factor of 15 and 38. The prime factorization of 15 is 3*5. The prime factorization of 38 is 2*19
What is the greatest common factor of 30 and 100?
The GCF of 30 and 100 is 10.The prime factorization of 30 is 2x3x5The prime factorization of 100 is 2x2x5x5GCF(30, 100) = 2x5 = 10
What is the product of all of the prime factors?
That's the prime factorization.
Find the greatest common factor of the numbers using prime factorization?
i dont know what that means does anyone get this"find the greatest common factor of the numbers using prime factorization We'll be eager to jump on it as soon as you give us the numbers.
What is the greatest common factor of 132 and 150?
The answer is 6.You need to do a prime factorization of the 2 numbers first. Then compare the 2 numbers and see what the greatest number they have in common is in the factorization of them. Next times what they have in common and there is your answer. The factorization of 132=11x3x2x2 The factorization of 150=5x5x3x2 There is a 2 and a 3 in each, so you multiply them both and you get 6.
How can you use the prime factorization of two numbers to get the greatest common multiple?
The greatest common multiple is an infinite amount and cannot be factored.
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 tree?
That doesn't really exist. A factor tree is a way to notate the process of finding the prime factorization of a given number. The greatest common factor, or GCF, is the largest number that can divide evenly with no remainder into a given set of numbers.
How do you get the greatest common factor on a math problem?
By finding the factors in both numbers and then finding the one that is greatest in common. For example the G.C.F for 45 and 36 is 9.
What is the greatest common factor of 348 and 426?
Start of by finding the prime factorization of both these numbers. 348=2²*3*29 426=2*3*71 The greatest common factor is going to be the product of all factors that both numbers share. The only two common factors between 348 and 426 are 2 and 3, so the greatest common factor is 2*3=6.
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.
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 greatest common factor of 76 using prime factorization?
You need at least two numbers to find a GCF.
What is the greatest common factor of 40 100 and 140?
The greatest common factor of two or more numbers can be found by expressing each number as the product of prime numbers and then finding out what is common in the factorization of the numbers. Prime factorization of 40 = 2 x 2 x 2 x 5 Prime factorization of 100 = 2 x 2 x 5 x 5 Prime factorization of 140 = 2 x 2 x 5 x 7 It can be seen that 2, 5, 2 x 2(or 4), 2 x 5(or 10) and 2 x 2 x 5(or 20) are common but 2 x 2 x 5(or 20) is the greatest, so 20 is the GCF.
What is the gcf of 40 and 60 and 80?
The gcf is the greatest common factor. A way of finding the gcf of three numbers is to find the gcf of the first two and then finding the gcf of that number and the third number. Because of the unique prime factorization theorem, the greatest common factor will be a product of some of the prime factors in either number. The prime factorization of 40 is 2^3 * 5 and the prime factorization of 60 is 2^2 * 3 * 5, so the gcf is going to be what is in both, or, in this case, 2^2 * 5. Th prime factorization of 80 is 2^4 * 5 and so gcf of all three numbers is 2^2 * 5, or 20.
