What is the Greatest Common Factor of 32346 and 32359?

Greatest common factor (GCF) of 32346 and 32359 is 1.

GCF(32346,32359) = 1

We will now calculate the prime factors of 32346 and 32359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32346 and 32359.

How to find the GCF of 32346 and 32359?

We will first find the prime factorization of 32346 and 32359. After we will calculate the factors of 32346 and 32359 and find the biggest common factor number .

Step-1: Prime Factorization of 32346

Prime factors of 32346 are 2, 3, 599. Prime factorization of 32346 in exponential form is:

32346 = 2¹ × 3³ × 599¹

Step-2: Prime Factorization of 32359

Prime factors of 32359 are 32359. Prime factorization of 32359 in exponential form is:

32359 = 32359¹

Step-3: Factors of 32346

List of positive integer factors of 32346 that divides 32346 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 599, 1198, 1797, 3594, 5391, 10782, 16173

Step-4: Factors of 32359

List of positive integer factors of 32359 that divides 32346 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32346 and 32359. The biggest common factor number is the GCF number.
So the greatest common factor 32346 and 32359 is 1.

Also check out the Least Common Multiple of 32346 and 32359