What is the Greatest Common Factor of 13053 and 13059?

Greatest common factor (GCF) of 13053 and 13059 is 3.

GCF(13053,13059) = 3

We will now calculate the prime factors of 13053 and 13059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13053 and 13059.

How to find the GCF of 13053 and 13059?

We will first find the prime factorization of 13053 and 13059. After we will calculate the factors of 13053 and 13059 and find the biggest common factor number .

Step-1: Prime Factorization of 13053

Prime factors of 13053 are 3, 19, 229. Prime factorization of 13053 in exponential form is:

13053 = 3¹ × 19¹ × 229¹

Step-2: Prime Factorization of 13059

Prime factors of 13059 are 3, 1451. Prime factorization of 13059 in exponential form is:

13059 = 3² × 1451¹

Step-3: Factors of 13053

List of positive integer factors of 13053 that divides 13053 without a remainder.

1, 3, 19, 57, 229, 687, 4351

Step-4: Factors of 13059

List of positive integer factors of 13059 that divides 13053 without a remainder.

1, 3, 9, 1451, 4353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13053 and 13059. The biggest common factor number is the GCF number.
So the greatest common factor 13053 and 13059 is 3.

Also check out the Least Common Multiple of 13053 and 13059