What is the Greatest Common Factor of 13083 and 13089?

Greatest common factor (GCF) of 13083 and 13089 is 3.

GCF(13083,13089) = 3

We will now calculate the prime factors of 13083 and 13089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13083 and 13089.

How to find the GCF of 13083 and 13089?

We will first find the prime factorization of 13083 and 13089. After we will calculate the factors of 13083 and 13089 and find the biggest common factor number .

Step-1: Prime Factorization of 13083

Prime factors of 13083 are 3, 7, 89. Prime factorization of 13083 in exponential form is:

13083 = 3¹ × 7² × 89¹

Step-2: Prime Factorization of 13089

Prime factors of 13089 are 3, 4363. Prime factorization of 13089 in exponential form is:

13089 = 3¹ × 4363¹

Step-3: Factors of 13083

List of positive integer factors of 13083 that divides 13083 without a remainder.

1, 3, 7, 21, 49, 89, 147, 267, 623, 1869, 4361

Step-4: Factors of 13089

List of positive integer factors of 13089 that divides 13083 without a remainder.

1, 3, 4363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13083 and 13089. The biggest common factor number is the GCF number.
So the greatest common factor 13083 and 13089 is 3.

Also check out the Least Common Multiple of 13083 and 13089