What is the Greatest Common Factor of 34354 and 34371?

Greatest common factor (GCF) of 34354 and 34371 is 1.

GCF(34354,34371) = 1

We will now calculate the prime factors of 34354 and 34371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34354 and 34371.

How to find the GCF of 34354 and 34371?

We will first find the prime factorization of 34354 and 34371. After we will calculate the factors of 34354 and 34371 and find the biggest common factor number .

Step-1: Prime Factorization of 34354

Prime factors of 34354 are 2, 89, 193. Prime factorization of 34354 in exponential form is:

34354 = 2¹ × 89¹ × 193¹

Step-2: 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-3: Factors of 34354

List of positive integer factors of 34354 that divides 34354 without a remainder.

1, 2, 89, 178, 193, 386, 17177

Step-4: Factors of 34371

List of positive integer factors of 34371 that divides 34354 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34354 and 34371. The biggest common factor number is the GCF number.
So the greatest common factor 34354 and 34371 is 1.

Also check out the Least Common Multiple of 34354 and 34371