What is the Greatest Common Factor of 89310 and 89319?

Greatest common factor (GCF) of 89310 and 89319 is 3.

GCF(89310,89319) = 3

We will now calculate the prime factors of 89310 and 89319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89310 and 89319.

How to find the GCF of 89310 and 89319?

We will first find the prime factorization of 89310 and 89319. After we will calculate the factors of 89310 and 89319 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 89319

Prime factors of 89319 are 3, 19, 1567. Prime factorization of 89319 in exponential form is:

89319 = 3¹ × 19¹ × 1567¹

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 89319

List of positive integer factors of 89319 that divides 89310 without a remainder.

1, 3, 19, 57, 1567, 4701, 29773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89310 and 89319. The biggest common factor number is the GCF number.
So the greatest common factor 89310 and 89319 is 3.

Also check out the Least Common Multiple of 89310 and 89319