What is the Greatest Common Factor of 81357 and 81363?

Greatest common factor (GCF) of 81357 and 81363 is 3.

GCF(81357,81363) = 3

We will now calculate the prime factors of 81357 and 81363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81357 and 81363.

How to find the GCF of 81357 and 81363?

We will first find the prime factorization of 81357 and 81363. After we will calculate the factors of 81357 and 81363 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 81363

Prime factors of 81363 are 3, 37, 733. Prime factorization of 81363 in exponential form is:

81363 = 3¹ × 37¹ × 733¹

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 81363

List of positive integer factors of 81363 that divides 81357 without a remainder.

1, 3, 37, 111, 733, 2199, 27121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81357 and 81363. The biggest common factor number is the GCF number.
So the greatest common factor 81357 and 81363 is 3.

Also check out the Least Common Multiple of 81357 and 81363