What is the Greatest Common Factor of 89307 and 89323?

Greatest common factor (GCF) of 89307 and 89323 is 1.

GCF(89307,89323) = 1

We will now calculate the prime factors of 89307 and 89323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89307 and 89323.

How to find the GCF of 89307 and 89323?

We will first find the prime factorization of 89307 and 89323. After we will calculate the factors of 89307 and 89323 and find the biggest common factor number .

Step-1: Prime Factorization of 89307

Prime factors of 89307 are 3, 9923. Prime factorization of 89307 in exponential form is:

89307 = 3² × 9923¹

Step-2: Prime Factorization of 89323

Prime factors of 89323 are 13, 6871. Prime factorization of 89323 in exponential form is:

89323 = 13¹ × 6871¹

Step-3: Factors of 89307

List of positive integer factors of 89307 that divides 89307 without a remainder.

1, 3, 9, 9923, 29769

Step-4: Factors of 89323

List of positive integer factors of 89323 that divides 89307 without a remainder.

1, 13, 6871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89307 and 89323. The biggest common factor number is the GCF number.
So the greatest common factor 89307 and 89323 is 1.

Also check out the Least Common Multiple of 89307 and 89323