What is the Greatest Common Factor of 81289 and 81309?

Greatest common factor (GCF) of 81289 and 81309 is 1.

GCF(81289,81309) = 1

We will now calculate the prime factors of 81289 and 81309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81289 and 81309.

How to find the GCF of 81289 and 81309?

We will first find the prime factorization of 81289 and 81309. After we will calculate the factors of 81289 and 81309 and find the biggest common factor number .

Step-1: Prime Factorization of 81289

Prime factors of 81289 are 13, 37. Prime factorization of 81289 in exponential form is:

81289 = 13³ × 37¹

Step-2: Prime Factorization of 81309

Prime factors of 81309 are 3, 27103. Prime factorization of 81309 in exponential form is:

81309 = 3¹ × 27103¹

Step-3: Factors of 81289

List of positive integer factors of 81289 that divides 81289 without a remainder.

1, 13, 37, 169, 481, 2197, 6253

Step-4: Factors of 81309

List of positive integer factors of 81309 that divides 81289 without a remainder.

1, 3, 27103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81289 and 81309. The biggest common factor number is the GCF number.
So the greatest common factor 81289 and 81309 is 1.

Also check out the Least Common Multiple of 81289 and 81309