0
Why can you always determine the greatest common factor of any two Numbers?
Wiki User
∙ 6y ago
A Prime number only has two factors: 1 and the number itself. Since every prime number has 1 as a factor, it's a common factor. Since the only other factors are the numbers you're comparing, they won't be the same number. That makes 1 the GCF.
One exception: When it's the same number. The GCF of 13 and 13 is 13.
Wiki User
∙ 8y ago
Wiki User
∙ 8y agoExample: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
Wiki User
∙ 6y agoBecause any set of non-zero integers has a GCF. If it exists, it can be determined.
Wiki User
∙ 8y agoThe GCF of any two prime numbers s 1.
Wiki User
∙ 6y agoThe GCF is 1.
Add your answer:
Earn +20 pts
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
Do factor trees always work for determining the greatest common factors?
If you construct them correctly, factor trees always work to determine the prime factorization of a number. Once you compare the prime factorizations of two or more numbers, it is relatively easy to find the greatest common factor of them from there.
What is the greatest common factor of 255 and 105?
The greatest common denominator of any set of denominators is infinite.
Is the greatest common factor of two even numbers always sometimes or never even?
Always even.
Is the greatest common factor of two even numbers always two?
No, but it's always an even number.
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.
What is the greatest common factor of 3066?
You must have at least two whole numbers to determine a greatest common factor.
What is the greatest common factor to 5727?
You must have at least two whole numbers to determine a greatest common factor.
What is the greatest common factor of 11570200?
You must have at least two whole numbers to determine a greatest common factor.
What is the greatest common factor of 7733?
You must have at least two whole numbers to determine a greatest common factor.
What is the greatest common factor of 33046266?
You must have at least two whole numbers to determine a greatest common factor.
What is the greatest common factor of 14714?
You must have at least two whole numbers to determine a greatest common factor.
Is the greatest common factor of two numbers is equal to Lester of the numbers always?
No.
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 greatest common factor of 252?
This cannot be properly answered. You must have at least two whole numbers to determine a greatest common factor.
Do factor trees always work for determining the greatest common factors?
If you construct them correctly, factor trees always work to determine the prime factorization of a number. Once you compare the prime factorizations of two or more numbers, it is relatively easy to find the greatest common factor of them from there.
Is the greatest common factor odd numbers will always odd?
Yes.
