Yup, it is!

Odd numbers end with a 1,3,5,7,9 none of these numbers can be divided by an even number.

GCF is about finding greatest common factors. The greatest common factor of odd numbers will also be an odd number, because it cannot be divided by an even number.

I found an answer from www.answers.com

**Is the greatest common factor of any two odd numbers always odd** ...

Assuming you mean **GCF** and not GFC, the anwer is yes. If the **numbers** are **odd**,
neither can have an even factor and so there can be no even common factor.

For more information, see **Is the greatest common factor of any two odd numbers always odd** ...

I found an answer from en.wikipedia.org

Greatest common divisor - Wikipedia

In mathematics, the greatest common divisor (gcd) of **two** or more **integers**, which
are not all ... **Any** number that divides a and b must also divide c so every
common divisor of a and b is ... Moreover, as a and b are both **odd**, c is even, the
process can be continued with the ... "**Greatest Common Factor**". www.mathsisfun
.com.

For more information, see Greatest common divisor - Wikipedia

I found an answer from www.splashlearn.com

What is **Odd Number**? - Definition, Facts & Example

Definition of Odd Number explained with real life illustrated examples. ... Odd
numbers have the digits 1, 3, 5, 7 or **9** in their ones place. odd number example.
Fun Facts. The sum of **two odd numbers** is always even. ... Online Live Math
Classes; SplashLearn Math Courses · Complete **Grade** 3 Math Refresher · 12
Hours to ...

For more information, see What is **Odd Number**? - Definition, Facts & Example

Step 1: Know about the Greatest Common Factor(GCF)

** Factors** are numbers that we can multiply together to get a particular number

**Common factors** are those listed on both factor lists.

Greatest common factor

Simply the largest common factor

- Find all the factors in both numbers
- Find those who are common to both of them, and
- Then pick the largest one.

Step 2: Verify that the GCF of two odd numbers is always odd

Common factors and Greatest common factor always odd because all factors of an odd numbers are odd,

Example: 9 and 15

Factors of 9: 1, 3, 9

Factors of 15: 1, 3, 5, 15

Common factors 1, and 3

Greatest common factor 3

In order to understand better, take any two odd numbers and verify that you get an odd number as the greatest common factor.

Hence, we can conclude that

GCF of any two odd numbers is always odd