What is the Greatest Common Factor of 34371 and 34390?

Greatest common factor (GCF) of 34371 and 34390 is 19.

GCF(34371,34390) = 19

We will now calculate the prime factors of 34371 and 34390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34371 and 34390.

How to find the GCF of 34371 and 34390?

We will first find the prime factorization of 34371 and 34390. After we will calculate the factors of 34371 and 34390 and find the biggest common factor number .

Step-1: Prime Factorization of 34371

Prime factors of 34371 are 3, 19, 67. Prime factorization of 34371 in exponential form is:

34371 = 3³ × 19¹ × 67¹

Step-2: Prime Factorization of 34390

Prime factors of 34390 are 2, 5, 19, 181. Prime factorization of 34390 in exponential form is:

34390 = 2¹ × 5¹ × 19¹ × 181¹

Step-3: Factors of 34371

List of positive integer factors of 34371 that divides 34371 without a remainder.

1, 3, 9, 19, 27, 57, 67, 171, 201, 513, 603, 1273, 1809, 3819, 11457

Step-4: Factors of 34390

List of positive integer factors of 34390 that divides 34371 without a remainder.

1, 2, 5, 10, 19, 38, 95, 181, 190, 362, 905, 1810, 3439, 6878, 17195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34371 and 34390. The biggest common factor number is the GCF number.
So the greatest common factor 34371 and 34390 is 19.

Also check out the Least Common Multiple of 34371 and 34390