What is the Greatest Common Factor of 32339 and 32344?

Greatest common factor (GCF) of 32339 and 32344 is 1.

GCF(32339,32344) = 1

We will now calculate the prime factors of 32339 and 32344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32339 and 32344.

How to find the GCF of 32339 and 32344?

We will first find the prime factorization of 32339 and 32344. After we will calculate the factors of 32339 and 32344 and find the biggest common factor number .

Step-1: Prime Factorization of 32339

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

32339 = 73¹ × 443¹

Step-2: Prime Factorization of 32344

Prime factors of 32344 are 2, 13, 311. Prime factorization of 32344 in exponential form is:

32344 = 2³ × 13¹ × 311¹

Step-3: Factors of 32339

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

1, 73, 443

Step-4: Factors of 32344

List of positive integer factors of 32344 that divides 32339 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 311, 622, 1244, 2488, 4043, 8086, 16172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32339 and 32344. The biggest common factor number is the GCF number.
So the greatest common factor 32339 and 32344 is 1.

Also check out the Least Common Multiple of 32339 and 32344