What is the Greatest Common Factor of 13034 and 13053?

Greatest common factor (GCF) of 13034 and 13053 is 19.

GCF(13034,13053) = 19

We will now calculate the prime factors of 13034 and 13053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13034 and 13053.

How to find the GCF of 13034 and 13053?

We will first find the prime factorization of 13034 and 13053. After we will calculate the factors of 13034 and 13053 and find the biggest common factor number .

Step-1: Prime Factorization of 13034

Prime factors of 13034 are 2, 7, 19. Prime factorization of 13034 in exponential form is:

13034 = 2¹ × 7³ × 19¹

Step-2: 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-3: Factors of 13034

List of positive integer factors of 13034 that divides 13034 without a remainder.

1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 343, 686, 931, 1862, 6517

Step-4: Factors of 13053

List of positive integer factors of 13053 that divides 13034 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13034 and 13053. The biggest common factor number is the GCF number.
So the greatest common factor 13034 and 13053 is 19.

Also check out the Least Common Multiple of 13034 and 13053