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Q: Do you have to always multiply the two greatest common factors at the end?
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What is the greatest common factors for twelve and fifteen?

if they have no obvious common factors (such as 3!!!!!!!) then you multiply them to get the GCF.


What can you multiply to get the greatest common factor of 42 and 56?

You can multiply 2 x 7 (their common prime factors) to get 14, the GCF.


How do you find the greatest common factor when there are no common factors?

There is always a common factor. If there are no common prime factors, the GCF is 1.


Can there be 2 greatest common factors?

No. The greatest common factor of any two or more numbers is always the single highest common factor.


How is the greatest common factor different from the least common factor?

In the list of common factors, the greatest is the largest, the least is the smallest (which is always 1)


What is the greatest common divisor of 120 and 240?

Prime factor each number and then multiply all the common factors to get the GCF.120=2x2x2x3x5240=2x2x2x2x3x52x2x2x3x5=120 is the Greatest Common Factor


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 difference between common factors and greatest common factors?

The greatest common factor is the largest of the common factors.


what is the largest factor that two numbers share is called?

The greatest common factor (GCF) of two (or more) numbers is the greatest factor that divides two numbers. To find the GCF you must work out and list the prime factors of each of the numbers. You will see that the numbers have prime factors in common. Multiply those factors the numbers have in common together and this gives you the GCF for the numbers. eg Number A = 18, Prime factors = 2*3*3 Number B = 24, Prime factors = 2*2*2*3 The Prime factors that A and B have in common are 2 and 3 Multiply them together = 6 6= the GCF of 18 and 24


Why does it make sense to multiply the numbers in the middle of the Venn Diagram to determine the GCF of a pair of numbers?

Factors multiply. The numbers in the middle of the Venn diagram are common factors. If there are two or more, their product will give you the greatest common factor.


What are the common factors and greatest common factors of 12 and 15?

The common factors are 1 and 3. The greatest of these is 3.


How many methods are there for the greatest common factor?

I guess the most common methods are the following: 1) List the common factors, and check which one is greatest. 2) Split each of the numbers into prime factors. Take all common factors and multiply them. 3) Euclid's algorithm. This method is fastest for large numbers.