What is the Greatest Common Factor of 11649 and 11667?

Greatest common factor (GCF) of 11649 and 11667 is 3.

GCF(11649,11667) = 3

We will now calculate the prime factors of 11649 and 11667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11649 and 11667.

How to find the GCF of 11649 and 11667?

We will first find the prime factorization of 11649 and 11667. After we will calculate the factors of 11649 and 11667 and find the biggest common factor number .

Step-1: Prime Factorization of 11649

Prime factors of 11649 are 3, 11, 353. Prime factorization of 11649 in exponential form is:

11649 = 3¹ × 11¹ × 353¹

Step-2: Prime Factorization of 11667

Prime factors of 11667 are 3, 3889. Prime factorization of 11667 in exponential form is:

11667 = 3¹ × 3889¹

Step-3: Factors of 11649

List of positive integer factors of 11649 that divides 11649 without a remainder.

1, 3, 11, 33, 353, 1059, 3883

Step-4: Factors of 11667

List of positive integer factors of 11667 that divides 11649 without a remainder.

1, 3, 3889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11649 and 11667. The biggest common factor number is the GCF number.
So the greatest common factor 11649 and 11667 is 3.

Also check out the Least Common Multiple of 11649 and 11667