What is the Greatest Common Factor of 83367 and 83382?

Greatest common factor (GCF) of 83367 and 83382 is 3.

GCF(83367,83382) = 3

We will now calculate the prime factors of 83367 and 83382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83367 and 83382.

How to find the GCF of 83367 and 83382?

We will first find the prime factorization of 83367 and 83382. After we will calculate the factors of 83367 and 83382 and find the biggest common factor number .

Step-1: Prime Factorization of 83367

Prime factors of 83367 are 3, 59, 157. Prime factorization of 83367 in exponential form is:

83367 = 3² × 59¹ × 157¹

Step-2: 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-3: Factors of 83367

List of positive integer factors of 83367 that divides 83367 without a remainder.

1, 3, 9, 59, 157, 177, 471, 531, 1413, 9263, 27789

Step-4: Factors of 83382

List of positive integer factors of 83382 that divides 83367 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83367 and 83382. The biggest common factor number is the GCF number.
So the greatest common factor 83367 and 83382 is 3.

Also check out the Least Common Multiple of 83367 and 83382