What is the Greatest Common Factor of 81348 and 81361?

Greatest common factor (GCF) of 81348 and 81361 is 1.

GCF(81348,81361) = 1

We will now calculate the prime factors of 81348 and 81361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81348 and 81361.

How to find the GCF of 81348 and 81361?

We will first find the prime factorization of 81348 and 81361. After we will calculate the factors of 81348 and 81361 and find the biggest common factor number .

Step-1: Prime Factorization of 81348

Prime factors of 81348 are 2, 3, 6779. Prime factorization of 81348 in exponential form is:

81348 = 2² × 3¹ × 6779¹

Step-2: Prime Factorization of 81361

Prime factors of 81361 are 7, 59, 197. Prime factorization of 81361 in exponential form is:

81361 = 7¹ × 59¹ × 197¹

Step-3: Factors of 81348

List of positive integer factors of 81348 that divides 81348 without a remainder.

1, 2, 3, 4, 6, 12, 6779, 13558, 20337, 27116, 40674

Step-4: Factors of 81361

List of positive integer factors of 81361 that divides 81348 without a remainder.

1, 7, 59, 197, 413, 1379, 11623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81348 and 81361. The biggest common factor number is the GCF number.
So the greatest common factor 81348 and 81361 is 1.

Also check out the Least Common Multiple of 81348 and 81361