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How does finding the prime factorization of a group of numbers help you to find their greatest common factor?
If you take all the common prime factors between numbers and multiply them it will give you the gcf.
How can you find the CFC of two factors?
To find the greatest common factor (GCF) of two factors, first list the factors of each number. Then, identify the common factors between them. The GCF is the largest of these common factors. Alternatively, you can use the prime factorization method, where you break down each number into its prime factors and multiply the lowest powers of all common prime factors.
List two methods that can be used to find the greatest common factor of a set of numbers?
Prime factorization and the Euclidean algorithm
What is the product of all of the prime factors?
That's the prime factorization.
Two common factors of 42 and 231?
To find the common factors of 42 and 231, we first need to find the prime factorization of each number. The prime factorization of 42 is 2 x 3 x 7, and the prime factorization of 231 is 3 x 7 x 11. The common factors of 42 and 231 are the prime numbers that appear in both factorizations, which are 3 and 7. Therefore, the two common factors of 42 and 231 are 3 and 7.
How do you use prime factorization to find three common factors and three common multiples?
you multiply them together
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.
What is the greatest common factor for 2016588 using prime factorization?
The prime factorization of 2016588 is 2 x 2 x 3 x 7 x 24007. For any of them to be common, you need to compare them to another set of factors.
How does finding the prime factorization of a group of numbers help you to find their greatest common factor?
If you take all the common prime factors between numbers and multiply them it will give you the gcf.
What is the easiest way to find the greatest common factor of 3 numbers?
do the prime factorization of the 3 numbers. list the prime factors of all the 3 numbers. circle the factors that are common to the 3. multiply them. that number is the HCF
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
How can you find the CFC of two factors?
To find the greatest common factor (GCF) of two factors, first list the factors of each number. Then, identify the common factors between them. The GCF is the largest of these common factors. Alternatively, you can use the prime factorization method, where you break down each number into its prime factors and multiply the lowest powers of all common prime factors.
How do you find out the common factors?
you use prime factorization
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.
What is the least common factor of 12 using prime factors.?
The prime factorization of 12 is 2 x 2 x 3. To find something in common, you need to compare it to another prime factorization. To save you the trouble, the least common factor of 12 and any other number is 1.
List two methods that can be used to find the greatest common factor of a set of numbers?
Prime factorization and the Euclidean algorithm
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.
