What is the Greatest Common Factor of 81339 and 81357?

Greatest common factor (GCF) of 81339 and 81357 is 3.

GCF(81339,81357) = 3

We will now calculate the prime factors of 81339 and 81357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81339 and 81357.

How to find the GCF of 81339 and 81357?

We will first find the prime factorization of 81339 and 81357. After we will calculate the factors of 81339 and 81357 and find the biggest common factor number .

Step-1: Prime Factorization of 81339

Prime factors of 81339 are 3, 19, 1427. Prime factorization of 81339 in exponential form is:

81339 = 3¹ × 19¹ × 1427¹

Step-2: 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-3: Factors of 81339

List of positive integer factors of 81339 that divides 81339 without a remainder.

1, 3, 19, 57, 1427, 4281, 27113

Step-4: Factors of 81357

List of positive integer factors of 81357 that divides 81339 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81339 and 81357. The biggest common factor number is the GCF number.
So the greatest common factor 81339 and 81357 is 3.

Also check out the Least Common Multiple of 81339 and 81357