What is the Greatest Common Factor of 11313 and 11331?

Greatest common factor (GCF) of 11313 and 11331 is 9.

GCF(11313,11331) = 9

We will now calculate the prime factors of 11313 and 11331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11313 and 11331.

How to find the GCF of 11313 and 11331?

We will first find the prime factorization of 11313 and 11331. After we will calculate the factors of 11313 and 11331 and find the biggest common factor number .

Step-1: Prime Factorization of 11313

Prime factors of 11313 are 3, 419. Prime factorization of 11313 in exponential form is:

11313 = 3³ × 419¹

Step-2: Prime Factorization of 11331

Prime factors of 11331 are 3, 1259. Prime factorization of 11331 in exponential form is:

11331 = 3² × 1259¹

Step-3: Factors of 11313

List of positive integer factors of 11313 that divides 11313 without a remainder.

1, 3, 9, 27, 419, 1257, 3771

Step-4: Factors of 11331

List of positive integer factors of 11331 that divides 11313 without a remainder.

1, 3, 9, 1259, 3777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11313 and 11331. The biggest common factor number is the GCF number.
So the greatest common factor 11313 and 11331 is 9.

Also check out the Least Common Multiple of 11313 and 11331