What is the Greatest Common Factor of 32346 and 32364?

Greatest common factor (GCF) of 32346 and 32364 is 18.

GCF(32346,32364) = 18

We will now calculate the prime factors of 32346 and 32364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32346 and 32364.

How to find the GCF of 32346 and 32364?

We will first find the prime factorization of 32346 and 32364. After we will calculate the factors of 32346 and 32364 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 32364

Prime factors of 32364 are 2, 3, 29, 31. Prime factorization of 32364 in exponential form is:

32364 = 2² × 3² × 29¹ × 31¹

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 32364

List of positive integer factors of 32364 that divides 32346 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 31, 36, 58, 62, 87, 93, 116, 124, 174, 186, 261, 279, 348, 372, 522, 558, 899, 1044, 1116, 1798, 2697, 3596, 5394, 8091, 10788, 16182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32346 and 32364. The biggest common factor number is the GCF number.
So the greatest common factor 32346 and 32364 is 18.

Also check out the Least Common Multiple of 32346 and 32364