What is the Greatest Common Factor of 13034 and 13051?

Greatest common factor (GCF) of 13034 and 13051 is 1.

GCF(13034,13051) = 1

We will now calculate the prime factors of 13034 and 13051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13034 and 13051.

How to find the GCF of 13034 and 13051?

We will first find the prime factorization of 13034 and 13051. After we will calculate the factors of 13034 and 13051 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 13051

Prime factors of 13051 are 31, 421. Prime factorization of 13051 in exponential form is:

13051 = 31¹ × 421¹

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 13051

List of positive integer factors of 13051 that divides 13034 without a remainder.

1, 31, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13034 and 13051. The biggest common factor number is the GCF number.
So the greatest common factor 13034 and 13051 is 1.

Also check out the Least Common Multiple of 13034 and 13051