What is the Greatest Common Factor of 11640 and 11649?

Greatest common factor (GCF) of 11640 and 11649 is 3.

GCF(11640,11649) = 3

We will now calculate the prime factors of 11640 and 11649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11640 and 11649.

How to find the GCF of 11640 and 11649?

We will first find the prime factorization of 11640 and 11649. After we will calculate the factors of 11640 and 11649 and find the biggest common factor number .

Step-1: Prime Factorization of 11640

Prime factors of 11640 are 2, 3, 5, 97. Prime factorization of 11640 in exponential form is:

11640 = 2³ × 3¹ × 5¹ × 97¹

Step-2: 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-3: Factors of 11640

List of positive integer factors of 11640 that divides 11640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 97, 120, 194, 291, 388, 485, 582, 776, 970, 1164, 1455, 1940, 2328, 2910, 3880, 5820

Step-4: Factors of 11649

List of positive integer factors of 11649 that divides 11640 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11640 and 11649. The biggest common factor number is the GCF number.
So the greatest common factor 11640 and 11649 is 3.

Also check out the Least Common Multiple of 11640 and 11649