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What is a common factor of every pair of numbers?
One is.
What number is a common factor of every set of numbers?
Answer is one.
What is a common factor that every number has?
1 is the factor that is common to all numbers.
Is it possible for two numbers to have no common factors?
No because every single number has a factor of one, therefore you have one as the common factor.
How you know that any two numbers have at least one common factor?
The number one is a factor of every number.
What is the the least common factor of 23 and 29?
If there is no factor that both of the numbers share (and there is not because they are both prime), then the answer is one. Every number has a factor of one, because every number times one is itself.
Why is the least common factor of any two whole numbers is one?
The number one goes into every number making the the least (lowest) common factor.
Why is the greatest common factor of two even numbers always even?
Even numbers, by definition, are divisible by 2. That means that every even number has at least one 2 as a factor. If every even number has one, then any set of even numbers will have at least one 2 as a common factor. Since that number has two as a factor, it's even.
Why do you think there is always at least one common factor for any two numbers?
Because 1 is a factor of every number.
What are numbers that have no common factors?
Since one is a factor of all non-zero integers, all numbers have common factors.
When is the greates common factor one of the 2 numbers?
When one of the numbers is a factor of the other.
Which number is greatest factor of every number?
The greatest factor of any number is the number itself. There is no integer that is the greatest factor of every number. One is a factor of every number. One is the GCF of co-prime numbers.
