What is the Greatest Common Factor of 32310 and 32328?

Greatest common factor (GCF) of 32310 and 32328 is 18.

GCF(32310,32328) = 18

We will now calculate the prime factors of 32310 and 32328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32310 and 32328.

How to find the GCF of 32310 and 32328?

We will first find the prime factorization of 32310 and 32328. After we will calculate the factors of 32310 and 32328 and find the biggest common factor number .

Step-1: Prime Factorization of 32310

Prime factors of 32310 are 2, 3, 5, 359. Prime factorization of 32310 in exponential form is:

32310 = 2¹ × 3² × 5¹ × 359¹

Step-2: Prime Factorization of 32328

Prime factors of 32328 are 2, 3, 449. Prime factorization of 32328 in exponential form is:

32328 = 2³ × 3² × 449¹

Step-3: Factors of 32310

List of positive integer factors of 32310 that divides 32310 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 359, 718, 1077, 1795, 2154, 3231, 3590, 5385, 6462, 10770, 16155

Step-4: Factors of 32328

List of positive integer factors of 32328 that divides 32310 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 449, 898, 1347, 1796, 2694, 3592, 4041, 5388, 8082, 10776, 16164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32310 and 32328. The biggest common factor number is the GCF number.
So the greatest common factor 32310 and 32328 is 18.

Also check out the Least Common Multiple of 32310 and 32328