What is the Greatest Common Factor of 81357 and 81366?

Greatest common factor (GCF) of 81357 and 81366 is 3.

GCF(81357,81366) = 3

We will now calculate the prime factors of 81357 and 81366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81357 and 81366.

How to find the GCF of 81357 and 81366?

We will first find the prime factorization of 81357 and 81366. After we will calculate the factors of 81357 and 81366 and find the biggest common factor number .

Step-1: Prime Factorization of 81357

Prime factors of 81357 are 3, 47, 577. Prime factorization of 81357 in exponential form is:

81357 = 3¹ × 47¹ × 577¹

Step-2: 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-3: Factors of 81357

List of positive integer factors of 81357 that divides 81357 without a remainder.

1, 3, 47, 141, 577, 1731, 27119

Step-4: Factors of 81366

List of positive integer factors of 81366 that divides 81357 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81357 and 81366. The biggest common factor number is the GCF number.
So the greatest common factor 81357 and 81366 is 3.

Also check out the Least Common Multiple of 81357 and 81366