What is the Greatest Common Factor of 83369 and 83380?

Greatest common factor (GCF) of 83369 and 83380 is 11.

GCF(83369,83380) = 11

We will now calculate the prime factors of 83369 and 83380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83369 and 83380.

How to find the GCF of 83369 and 83380?

We will first find the prime factorization of 83369 and 83380. After we will calculate the factors of 83369 and 83380 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 83380

Prime factors of 83380 are 2, 5, 11, 379. Prime factorization of 83380 in exponential form is:

83380 = 2² × 5¹ × 11¹ × 379¹

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 83380

List of positive integer factors of 83380 that divides 83369 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 379, 758, 1516, 1895, 3790, 4169, 7580, 8338, 16676, 20845, 41690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83369 and 83380. The biggest common factor number is the GCF number.
So the greatest common factor 83369 and 83380 is 11.

Also check out the Least Common Multiple of 83369 and 83380