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Is the greatest common factor always sometimes or never a prime number explain?
Wiki User
∙ 11y ago
GCF can sometimes be prime b ut not always. It is the Greatest (largest)number which will evenly divide into a given group of numbers. Prime numbers are not the only numbers that diviide into some thing and some \times, depending on the group of numbers given, it is prime.
EX find GFC for 21 and 14
this is 7 which is prime
find the gcf for 14 and 42
even though both are divisible by 7 (a prime) the Gcf is 14 itself.
You were probably taught to do a prime factorization as the 1st step in finding the GCF. After that you must find all common factors in the list of primes and multiply them together. By multiplying you are creating a number that is not prime. If there is only one common Prime number there is nothing to multiply so in that case the GCF is prime.
Wiki User
∙ 11y ago
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Easy way to do Greatest Common Denominator in math?
The greatest common denominator is always infinite. Easy enough.
What is the greatest common multiple of 54 and 108?
There is no greatest common multiple: for whatever value you say is the greatest I can always add their lowest common multiple and get an even greater common multiple.There is a greatest common FACTOR and a LOWEST common multiple:gcf(54, 108) = 54lcm(54, 108) = 108
What is the greatest common multiple of 5 and 6?
There is no greatest common multiple: for whatever value you say is the greatest I can always add their lowest common multiple and get an even greater common multiple.There is a greatest common FACTOR and a LOWEST common multiple:gcf(5, 6) = 1lcm(5, 6) = 30
Can a greatest common factor always be found for a set of whole numbers?
yes
Is the greatest common factor of any even numbers always even?
Yes.
Is the greatest common factor of two even numbers always sometimes or never even?
Always even.
Explain why the least common multiple will always be a larger number than the Greatest Common Factor?
It won't always be. The GCF and the LCM of 10 and 10 is 10.
Is the greatest common factor of two different prime numbers is 1 always sometimes or never true?
Sometimes 2.
Is the greatest common factor of any two odd numbers always odd-if-so-then-explain-how?
Since odd numbers don't have any even factors, they can't have any in common.
Can you find the greatest common multiple of 6 and 15 explain?
The greatest common multiple of any set of integers is infinite and cannot be found.
Why is there no Least Common factor if there is Greatest Common Factor?
The least common factor is always one (1), regardless of what the greatest common factor is.
Easy way to do Greatest Common Denominator in math?
The greatest common denominator is always infinite. Easy enough.
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)
Is the least common multiple of two numbers always divisible by the greatest common factor of the two numbers?
Yes, the least common multiple of two numbers is always divisible by those numbers' greatest common factor.
Is the greatest common factor of two different prime numbers always 1?
Yes, the greatest common factor of two different prime numbers is always 1
What is the greatest common multiple for 3618?
There is NO greatest common multiple because I can always add another lowest common multiple and get an ever greater number that is a common multiple.
