What is the Greatest Common Factor of 17369 and 17381?

Greatest common factor (GCF) of 17369 and 17381 is 1.

GCF(17369,17381) = 1

We will now calculate the prime factors of 17369 and 17381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17369 and 17381.

How to find the GCF of 17369 and 17381?

We will first find the prime factorization of 17369 and 17381. After we will calculate the factors of 17369 and 17381 and find the biggest common factor number .

Step-1: Prime Factorization of 17369

Prime factors of 17369 are 11, 1579. Prime factorization of 17369 in exponential form is:

17369 = 11¹ × 1579¹

Step-2: Prime Factorization of 17381

Prime factors of 17381 are 7, 13, 191. Prime factorization of 17381 in exponential form is:

17381 = 7¹ × 13¹ × 191¹

Step-3: Factors of 17369

List of positive integer factors of 17369 that divides 17369 without a remainder.

1, 11, 1579

Step-4: Factors of 17381

List of positive integer factors of 17381 that divides 17369 without a remainder.

1, 7, 13, 91, 191, 1337, 2483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17369 and 17381. The biggest common factor number is the GCF number.
So the greatest common factor 17369 and 17381 is 1.

Also check out the Least Common Multiple of 17369 and 17381