Question

The gcf of two numbers is a composite number

Answer 1

It is not necessary that gcf of two numbers is always a prime number, it can be a composite number as well.

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

`6 = 2*3\\9 = 3*3`

Greates Common factor = 3, which is a prime number.

GCF of 24 and 36

`24 = 2*2*2*3\\36 = 2*2*3*3`

Greatest Common Factor = 12, which is a composite number.