Sharon Parker

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.


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