Question

What is the greatest common factor of 9 and 11

Answer 1

The GCF of 9 and 11 is 1

Answer 2

The Greatest common factor (G.C.D) of 9 and 11 is 1

SOLUTION:

Greatest common factor (G.C.D) is the highest number which is factor for both the given numbers.

Here the numbers are 9 and 11.

We can find the Greatest common factor (G.C.D) of 9 and 11 using prime factorization method.

In prime factorization method, each number is written as the multiple of their prime factors, after that, on comparison we can find the Greatest common factor (G.C.D).

The prime factorization of 9 =
`3 * 3 * 1=1 * 3^(2)`

The prime factorization of 11 =
`11 * 1 = 1 * 11`

We can observe that, greatest common factor for both 9 and 11 is 1.

Hence Greatest common factor (G.C.D) of 9 and 11 is 1