What is the Greatest Common Factor of 81366 and 81382?

Greatest common factor (GCF) of 81366 and 81382 is 2.

GCF(81366,81382) = 2

We will now calculate the prime factors of 81366 and 81382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81366 and 81382.

How to find the GCF of 81366 and 81382?

We will first find the prime factorization of 81366 and 81382. After we will calculate the factors of 81366 and 81382 and find the biggest common factor number .

Step-1: Prime Factorization of 81366

Prime factors of 81366 are 2, 3, 71, 191. Prime factorization of 81366 in exponential form is:

81366 = 2¹ × 3¹ × 71¹ × 191¹

Step-2: Prime Factorization of 81382

Prime factors of 81382 are 2, 7, 5813. Prime factorization of 81382 in exponential form is:

81382 = 2¹ × 7¹ × 5813¹

Step-3: Factors of 81366

List of positive integer factors of 81366 that divides 81366 without a remainder.

1, 2, 3, 6, 71, 142, 191, 213, 382, 426, 573, 1146, 13561, 27122, 40683

Step-4: Factors of 81382

List of positive integer factors of 81382 that divides 81366 without a remainder.

1, 2, 7, 14, 5813, 11626, 40691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81366 and 81382. The biggest common factor number is the GCF number.
So the greatest common factor 81366 and 81382 is 2.

Also check out the Least Common Multiple of 81366 and 81382