What is the Greatest Common Factor of 82371 and 82380?

Greatest common factor (GCF) of 82371 and 82380 is 3.

GCF(82371,82380) = 3

We will now calculate the prime factors of 82371 and 82380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82371 and 82380.

How to find the GCF of 82371 and 82380?

We will first find the prime factorization of 82371 and 82380. After we will calculate the factors of 82371 and 82380 and find the biggest common factor number .

Step-1: Prime Factorization of 82371

Prime factors of 82371 are 3, 27457. Prime factorization of 82371 in exponential form is:

82371 = 3¹ × 27457¹

Step-2: Prime Factorization of 82380

Prime factors of 82380 are 2, 3, 5, 1373. Prime factorization of 82380 in exponential form is:

82380 = 2² × 3¹ × 5¹ × 1373¹

Step-3: Factors of 82371

List of positive integer factors of 82371 that divides 82371 without a remainder.

1, 3, 27457

Step-4: Factors of 82380

List of positive integer factors of 82380 that divides 82371 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1373, 2746, 4119, 5492, 6865, 8238, 13730, 16476, 20595, 27460, 41190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82371 and 82380. The biggest common factor number is the GCF number.
So the greatest common factor 82371 and 82380 is 3.

Also check out the Least Common Multiple of 82371 and 82380