What is the Greatest Common Factor of 34366 and 34371?

Greatest common factor (GCF) of 34366 and 34371 is 1.

GCF(34366,34371) = 1

We will now calculate the prime factors of 34366 and 34371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34366 and 34371.

How to find the GCF of 34366 and 34371?

We will first find the prime factorization of 34366 and 34371. After we will calculate the factors of 34366 and 34371 and find the biggest common factor number .

Step-1: Prime Factorization of 34366

Prime factors of 34366 are 2, 17183. Prime factorization of 34366 in exponential form is:

34366 = 2¹ × 17183¹

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 34366

List of positive integer factors of 34366 that divides 34366 without a remainder.

1, 2, 17183

Step-4: Factors of 34371

List of positive integer factors of 34371 that divides 34366 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 34366 and 34371. The biggest common factor number is the GCF number.
So the greatest common factor 34366 and 34371 is 1.

Also check out the Least Common Multiple of 34366 and 34371