What is the Greatest Common Factor of 83382 and 83391?

Greatest common factor (GCF) of 83382 and 83391 is 3.

GCF(83382,83391) = 3

We will now calculate the prime factors of 83382 and 83391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83382 and 83391.

How to find the GCF of 83382 and 83391?

We will first find the prime factorization of 83382 and 83391. After we will calculate the factors of 83382 and 83391 and find the biggest common factor number .

Step-1: Prime Factorization of 83382

Prime factors of 83382 are 2, 3, 13, 1069. Prime factorization of 83382 in exponential form is:

83382 = 2¹ × 3¹ × 13¹ × 1069¹

Step-2: Prime Factorization of 83391

Prime factors of 83391 are 3, 7, 11, 19. Prime factorization of 83391 in exponential form is:

83391 = 3¹ × 7¹ × 11¹ × 19²

Step-3: Factors of 83382

List of positive integer factors of 83382 that divides 83382 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1069, 2138, 3207, 6414, 13897, 27794, 41691

Step-4: Factors of 83391

List of positive integer factors of 83391 that divides 83382 without a remainder.

1, 3, 7, 11, 19, 21, 33, 57, 77, 133, 209, 231, 361, 399, 627, 1083, 1463, 2527, 3971, 4389, 7581, 11913, 27797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83382 and 83391. The biggest common factor number is the GCF number.
So the greatest common factor 83382 and 83391 is 3.

Also check out the Least Common Multiple of 83382 and 83391