What is the Greatest Common Factor of 83380 and 83399?

Greatest common factor (GCF) of 83380 and 83399 is 1.

GCF(83380,83399) = 1

We will now calculate the prime factors of 83380 and 83399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83380 and 83399.

How to find the GCF of 83380 and 83399?

We will first find the prime factorization of 83380 and 83399. After we will calculate the factors of 83380 and 83399 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83399

Prime factors of 83399 are 83399. Prime factorization of 83399 in exponential form is:

83399 = 83399¹

Step-3: Factors of 83380

List of positive integer factors of 83380 that divides 83380 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

Step-4: Factors of 83399

List of positive integer factors of 83399 that divides 83380 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83380 and 83399. The biggest common factor number is the GCF number.
So the greatest common factor 83380 and 83399 is 1.

Also check out the Least Common Multiple of 83380 and 83399