What is the Greatest Common Factor of 89323 and 89327?

Greatest common factor (GCF) of 89323 and 89327 is 1.

GCF(89323,89327) = 1

We will now calculate the prime factors of 89323 and 89327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89323 and 89327.

How to find the GCF of 89323 and 89327?

We will first find the prime factorization of 89323 and 89327. After we will calculate the factors of 89323 and 89327 and find the biggest common factor number .

Step-1: Prime Factorization of 89323

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

89323 = 13¹ × 6871¹

Step-2: Prime Factorization of 89327

Prime factors of 89327 are 7, 1823. Prime factorization of 89327 in exponential form is:

89327 = 7² × 1823¹

Step-3: Factors of 89323

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

1, 13, 6871

Step-4: Factors of 89327

List of positive integer factors of 89327 that divides 89323 without a remainder.

1, 7, 49, 1823, 12761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89323 and 89327. The biggest common factor number is the GCF number.
So the greatest common factor 89323 and 89327 is 1.

Also check out the Least Common Multiple of 89323 and 89327