What is the Greatest Common Factor of 89310 and 89325?

Greatest common factor (GCF) of 89310 and 89325 is 15.

GCF(89310,89325) = 15

We will now calculate the prime factors of 89310 and 89325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89310 and 89325.

How to find the GCF of 89310 and 89325?

We will first find the prime factorization of 89310 and 89325. After we will calculate the factors of 89310 and 89325 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 89325

Prime factors of 89325 are 3, 5, 397. Prime factorization of 89325 in exponential form is:

89325 = 3² × 5² × 397¹

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 89325

List of positive integer factors of 89325 that divides 89310 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 397, 1191, 1985, 3573, 5955, 9925, 17865, 29775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89310 and 89325. The biggest common factor number is the GCF number.
So the greatest common factor 89310 and 89325 is 15.

Also check out the Least Common Multiple of 89310 and 89325