answersLogoWhite

0


Best Answer

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.

User Avatar

Wiki User

โˆ™ 2018-04-08 03:46:24
This answer is:
๐Ÿ™
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
User Avatar
Study guides

Algebra

20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

โžก๏ธ
See all cards

Factoring and Multiples

21 cards

What is the prime factorization of 24

What is the prime factorization of 54

What is the prime factorization of 64

What is the prime factorization of 34

โžก๏ธ
See all cards

Factoring and Multiples

22 cards

What are the particles of matter

Particles of matter move slower as the matter is heated

What are the common factors of 32 and 54

Factors of 325

โžก๏ธ
See all cards

Add your answer:

Earn +20 pts
Q: Is the GCF of any two numbers always odd and why?
Write your answer...
Submit
Related questions

Is the GCF of any two numbers is always odd?

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.


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 set of odd numbers always odd?

Any set of odd numbers, yes.


Is the gcf of any two odd numbers always even?

No, always odd.


Is the GCF of any odd numbers always odd?

Yes.


Is the gcf of any two numbers two odd numbers always odd?

Yes.


Will the gfc of any two odd numbers always be odd?

The GCF will, yes.


Is the gfc of any two odd numbers is always odd?

The GCF is, yes.


Is it true that the GCF of any two odd numbers is always odd?

Yes.


Is the GCF of any odd number and an even number always even?

No. Since odd numbers don't have any even factors, the GCF of odd and even must be odd.


Is the gcf of any two odd numbers is always odd true or false?

True.


Is the GCF of an odd number and an even always even?

No, always odd. Since odd numbers don't have any even factors, they can't have any in common.


Is the gcf of all odd numbers always odd and is the gcf of all even numbers always even?

Yes and yes.


What The greatest common factor of any two odd numbers is always odd?

Odd numbers only have odd factors. The GCF would have to be odd.


Is the gcf of any two numbers always odd?

No. The gcf of 98 and 100 is 2 .


Is the greatest common factor of any two odd numbers?

The GCF of any two odd numbers is also odd.


Why is the gcf of an odd number and an even number always odd?

Because odd numbers don't have any even factors so they can't have any in common.


Is the GCF of any odd number always odd?

The gcf of a single number is the number itself. But you will usually want to take the gcf of more than one number, not of a single number.


Is the gcf of 2 odd numbers always odd?

Yes.


Is a GCF for two odd numbers always odd?

no, the GCF for 4 and 2 would be 2, which is even


Can the greatest common factor of an odd and even number always even?

The GCF of an odd and an even number must be odd since odd numbers do not have any even factors.


Is the gcf of any two odd numbers odd?

Yes, it has to be odd.


Is it true that the GFC for two odd numbers is always odd?

The GCF is, yes.


Is the gcf of two odd numbers always even?

No not always as for example the GCF of 7 and 21 is 7


Is the gcf of any two odd always odd?

Yes.