What is the Greatest Common Factor of 32319 and 32339?

Greatest common factor (GCF) of 32319 and 32339 is 1.

GCF(32319,32339) = 1

We will now calculate the prime factors of 32319 and 32339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32319 and 32339.

How to find the GCF of 32319 and 32339?

We will first find the prime factorization of 32319 and 32339. After we will calculate the factors of 32319 and 32339 and find the biggest common factor number .

Step-1: Prime Factorization of 32319

Prime factors of 32319 are 3, 7, 19. Prime factorization of 32319 in exponential form is:

32319 = 3⁵ × 7¹ × 19¹

Step-2: Prime Factorization of 32339

Prime factors of 32339 are 73, 443. Prime factorization of 32339 in exponential form is:

32339 = 73¹ × 443¹

Step-3: Factors of 32319

List of positive integer factors of 32319 that divides 32319 without a remainder.

1, 3, 7, 9, 19, 21, 27, 57, 63, 81, 133, 171, 189, 243, 399, 513, 567, 1197, 1539, 1701, 3591, 4617, 10773

Step-4: Factors of 32339

List of positive integer factors of 32339 that divides 32319 without a remainder.

1, 73, 443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32319 and 32339. The biggest common factor number is the GCF number.
So the greatest common factor 32319 and 32339 is 1.

Also check out the Least Common Multiple of 32319 and 32339