What is the Greatest Common Factor of 83369 and 83381?

Greatest common factor (GCF) of 83369 and 83381 is 1.

GCF(83369,83381) = 1

We will now calculate the prime factors of 83369 and 83381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83369 and 83381.

How to find the GCF of 83369 and 83381?

We will first find the prime factorization of 83369 and 83381. After we will calculate the factors of 83369 and 83381 and find the biggest common factor number .

Step-1: Prime Factorization of 83369

Prime factors of 83369 are 11, 13, 53. Prime factorization of 83369 in exponential form is:

83369 = 11² × 13¹ × 53¹

Step-2: Prime Factorization of 83381

Prime factors of 83381 are 199, 419. Prime factorization of 83381 in exponential form is:

83381 = 199¹ × 419¹

Step-3: Factors of 83369

List of positive integer factors of 83369 that divides 83369 without a remainder.

1, 11, 13, 53, 121, 143, 583, 689, 1573, 6413, 7579

Step-4: Factors of 83381

List of positive integer factors of 83381 that divides 83369 without a remainder.

1, 199, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83369 and 83381. The biggest common factor number is the GCF number.
So the greatest common factor 83369 and 83381 is 1.

Also check out the Least Common Multiple of 83369 and 83381