What is the Greatest Common Factor of 89310 and 89322?

Greatest common factor (GCF) of 89310 and 89322 is 6.

GCF(89310,89322) = 6

We will now calculate the prime factors of 89310 and 89322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89310 and 89322.

How to find the GCF of 89310 and 89322?

We will first find the prime factorization of 89310 and 89322. After we will calculate the factors of 89310 and 89322 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 89322

Prime factors of 89322 are 2, 3, 14887. Prime factorization of 89322 in exponential form is:

89322 = 2¹ × 3¹ × 14887¹

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 89322

List of positive integer factors of 89322 that divides 89310 without a remainder.

1, 2, 3, 6, 14887, 29774, 44661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89310 and 89322. The biggest common factor number is the GCF number.
So the greatest common factor 89310 and 89322 is 6.

Also check out the Least Common Multiple of 89310 and 89322