What is the Greatest Common Factor of 18323 and 18339?

Greatest common factor (GCF) of 18323 and 18339 is 1.

GCF(18323,18339) = 1

We will now calculate the prime factors of 18323 and 18339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18323 and 18339.

How to find the GCF of 18323 and 18339?

We will first find the prime factorization of 18323 and 18339. After we will calculate the factors of 18323 and 18339 and find the biggest common factor number .

Step-1: Prime Factorization of 18323

Prime factors of 18323 are 73, 251. Prime factorization of 18323 in exponential form is:

18323 = 73¹ × 251¹

Step-2: Prime Factorization of 18339

Prime factors of 18339 are 3, 6113. Prime factorization of 18339 in exponential form is:

18339 = 3¹ × 6113¹

Step-3: Factors of 18323

List of positive integer factors of 18323 that divides 18323 without a remainder.

1, 73, 251

Step-4: Factors of 18339

List of positive integer factors of 18339 that divides 18323 without a remainder.

1, 3, 6113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18323 and 18339. The biggest common factor number is the GCF number.
So the greatest common factor 18323 and 18339 is 1.

Also check out the Least Common Multiple of 18323 and 18339