What is the Greatest Common Factor of 81329 and 81345?

Greatest common factor (GCF) of 81329 and 81345 is 1.

GCF(81329,81345) = 1

We will now calculate the prime factors of 81329 and 81345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81329 and 81345.

How to find the GCF of 81329 and 81345?

We will first find the prime factorization of 81329 and 81345. After we will calculate the factors of 81329 and 81345 and find the biggest common factor number .

Step-1: Prime Factorization of 81329

Prime factors of 81329 are 167, 487. Prime factorization of 81329 in exponential form is:

81329 = 167¹ × 487¹

Step-2: Prime Factorization of 81345

Prime factors of 81345 are 3, 5, 11, 17, 29. Prime factorization of 81345 in exponential form is:

81345 = 3¹ × 5¹ × 11¹ × 17¹ × 29¹

Step-3: Factors of 81329

List of positive integer factors of 81329 that divides 81329 without a remainder.

1, 167, 487

Step-4: Factors of 81345

List of positive integer factors of 81345 that divides 81329 without a remainder.

1, 3, 5, 11, 15, 17, 29, 33, 51, 55, 85, 87, 145, 165, 187, 255, 319, 435, 493, 561, 935, 957, 1479, 1595, 2465, 2805, 4785, 5423, 7395, 16269, 27115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81329 and 81345. The biggest common factor number is the GCF number.
So the greatest common factor 81329 and 81345 is 1.

Also check out the Least Common Multiple of 81329 and 81345