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Find GCF of 18 and 24: 18 = 2 x 3 x 3, 24 = 2 x 2 x 2 x 3 . Each set of prime factors contains a 2 and a 3 thereforeGCF = 2 x 3 = 6

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Q: Why does finding the prime factorization of a group of numbers help you find there GCF?
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Related questions

How do you answer prime factorization?

by finding the prime numbers up to 100


What is the definition prime factorization?

Prime Factorization is finding which prime numbers multiply together to make the original number.


How is prime factorization different from finding factors of a number?

All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.


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 are the prime factorization for composite numbers 1-100?

finding the prime factors of a composite number


What is a term for finding prime factorization?

Prime factorization!


Is prime factorization always useful in finding LCM?

Most of the time. If you can recognize that the two numbers are relatively prime, factorization isn't necessary. Just multiply the two numbers together.


Do all prime numbers have prime factorization?

There is no need to do prime factorization as prime numbers are already prime.


Where do you use prime factorization in real life?

In finding the LCM or HCF of two or more numbers


What is prime fatorization?

prime factorization is the factorization of numbers


Does the prime factorization of any composite number include prime and composite numbers?

Prime factorization never includes a composite number. All numbers in prime factorization must be prime numbers.


How can you do prime factorization with prime numbers?

There is no need to do prime factorization as prime numbers are already prime. You do not need to find the prime numbers that when multiplied together create the number.