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Is the GCF of two even numbers always even?
Yes.
What two numbers have a gcf of 2?
There are infinitely many pair of numbers. Take any two numbers that are coprime. Double both of them. Their GCF is 2.
Is the gcf of an odd and even number always even?
No. The opposite is true: the gcf of an odd number and an even number is always odd. All the factors of an odd number are odd; or to put it another way: If a number has an even factor, the number itself must be even. Thus the only common factors between odd and even numbers must be odd.
The GCF of an odd and even number is 17. The greater number is 51. Find the other number?
The GCF of any set of numbers implies that all numbers in the set are multiples of the GCF. The multiples of 17 are 17,34,51 etc. If the greater number is 51 (which is an odd number) then the only solution for the other number (which is even and less than 51) is 34.
What is the gcf of 1 for 5 and 10?
GCF(1, 5, 10) = 1. The GCF of any set of numbers containing 1 must be 1.
Is the GCF of any two even numbers is always even?
The GCF of any two odd numbers is always odd. The GCF of any two even numbers is always even. The GCF of an odd and an even number is always odd.
Is the GCF of any two numbers always odd and why?
The GCF of any two odd numbers is always odd because odd numbers don't have any even factors. The GCF of any two even numbers is always even because even numbers are divisible by two and any common factors would have at least one two in common. The GCF of an even and an odd number is odd because odd numbers don't have any even factors.
Is the GCF of any two even numbers always even?
Yes.
The gcf of any two even numbers is always even?
That is correct.
If the gcf numbers are even is it always even?
The GCF of two even numbers is always even.
Is it true the gcf of any two numbers always even and why?
No
Is it true that the gcf of any two even numbers is always even?
Yes.
Why is the GCF of any odd numbers always odd?
The GCF of any set of odd numbers is odd because odd numbers don't have any even factors.
Is the gcf of any two even numbers is always even true or false?
True.
Why is the gcf of any two even numbers always even?
All even numbers have two as a factor. Any two even numbers have (at the least) two as a common factor. That means the GCF of any two even numbers will have two as a factor. Any number that has two as a factor is even.
Are there any 2 even numbers that the GCF is an odd number?
No not always as for example the GCF of 7 and 21 is 7
Is the gcf of all odd numbers always odd and is the gcf of all even numbers always even?
Yes and yes.
