What is the Greatest Common Factor of 17361 and 17371?

Greatest common factor (GCF) of 17361 and 17371 is 1.

GCF(17361,17371) = 1

We will now calculate the prime factors of 17361 and 17371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17361 and 17371.

How to find the GCF of 17361 and 17371?

We will first find the prime factorization of 17361 and 17371. After we will calculate the factors of 17361 and 17371 and find the biggest common factor number .

Step-1: Prime Factorization of 17361

Prime factors of 17361 are 3, 643. Prime factorization of 17361 in exponential form is:

17361 = 3³ × 643¹

Step-2: Prime Factorization of 17371

Prime factors of 17371 are 29, 599. Prime factorization of 17371 in exponential form is:

17371 = 29¹ × 599¹

Step-3: Factors of 17361

List of positive integer factors of 17361 that divides 17361 without a remainder.

1, 3, 9, 27, 643, 1929, 5787

Step-4: Factors of 17371

List of positive integer factors of 17371 that divides 17361 without a remainder.

1, 29, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17361 and 17371. The biggest common factor number is the GCF number.
So the greatest common factor 17361 and 17371 is 1.

Also check out the Least Common Multiple of 17361 and 17371