What is the Greatest Common Factor of 89310 and 89329?

Greatest common factor (GCF) of 89310 and 89329 is 1.

GCF(89310,89329) = 1

We will now calculate the prime factors of 89310 and 89329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89310 and 89329.

How to find the GCF of 89310 and 89329?

We will first find the prime factorization of 89310 and 89329. After we will calculate the factors of 89310 and 89329 and find the biggest common factor number .

Step-1: Prime Factorization of 89310

Prime factors of 89310 are 2, 3, 5, 13, 229. Prime factorization of 89310 in exponential form is:

89310 = 2¹ × 3¹ × 5¹ × 13¹ × 229¹

Step-2: Prime Factorization of 89329

Prime factors of 89329 are 89329. Prime factorization of 89329 in exponential form is:

89329 = 89329¹

Step-3: Factors of 89310

List of positive integer factors of 89310 that divides 89310 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 229, 390, 458, 687, 1145, 1374, 2290, 2977, 3435, 5954, 6870, 8931, 14885, 17862, 29770, 44655

Step-4: Factors of 89329

List of positive integer factors of 89329 that divides 89310 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89310 and 89329. The biggest common factor number is the GCF number.
So the greatest common factor 89310 and 89329 is 1.

Also check out the Least Common Multiple of 89310 and 89329