What is the Greatest Common Factor of 83380 and 83396?

Greatest common factor (GCF) of 83380 and 83396 is 4.

GCF(83380,83396) = 4

We will now calculate the prime factors of 83380 and 83396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83380 and 83396.

How to find the GCF of 83380 and 83396?

We will first find the prime factorization of 83380 and 83396. After we will calculate the factors of 83380 and 83396 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 83396

Prime factors of 83396 are 2, 20849. Prime factorization of 83396 in exponential form is:

83396 = 2² × 20849¹

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 83396

List of positive integer factors of 83396 that divides 83380 without a remainder.

1, 2, 4, 20849, 41698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83380 and 83396. The biggest common factor number is the GCF number.
So the greatest common factor 83380 and 83396 is 4.

Also check out the Least Common Multiple of 83380 and 83396