What is the Greatest Common Factor of 11649 and 11661?

Greatest common factor (GCF) of 11649 and 11661 is 3.

GCF(11649,11661) = 3

We will now calculate the prime factors of 11649 and 11661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11649 and 11661.

How to find the GCF of 11649 and 11661?

We will first find the prime factorization of 11649 and 11661. After we will calculate the factors of 11649 and 11661 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 11661

Prime factors of 11661 are 3, 13, 23. Prime factorization of 11661 in exponential form is:

11661 = 3¹ × 13² × 23¹

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 11661

List of positive integer factors of 11661 that divides 11649 without a remainder.

1, 3, 13, 23, 39, 69, 169, 299, 507, 897, 3887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11649 and 11661. The biggest common factor number is the GCF number.
So the greatest common factor 11649 and 11661 is 3.

Also check out the Least Common Multiple of 11649 and 11661