Answer:
It is not necessary that gcf of two numbers is always a prime number, it can be a composite number as well.
Step-by-step explanation:
GCF is the greatest common factor of two number. It is the largest number or the factor that divides both the number.
A composite number is a numbers which have factor other than 1 and itself.
A prime number is a number which can be divided by 1 and itself only.
It is not necessary that gcf of two numbers is always a composite number, it can be a prime number as well.
Example:
GCF of 6 and 9
[tex]6 = 2\times3\\9 = 3\times3[/tex]
Greates Common factor = 3, which is a prime number.
GCF of 24 and 36
[tex]24 = 2\times2\times2\times3\\36 = 2\times2\times3\times3[/tex]
Greatest Common Factor = 12, which is a composite number.
