What is the Greatest Common Factor of 32310 and 32325?

Greatest common factor (GCF) of 32310 and 32325 is 15.

GCF(32310,32325) = 15

We will now calculate the prime factors of 32310 and 32325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32310 and 32325.

How to find the GCF of 32310 and 32325?

We will first find the prime factorization of 32310 and 32325. After we will calculate the factors of 32310 and 32325 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 32325

Prime factors of 32325 are 3, 5, 431. Prime factorization of 32325 in exponential form is:

32325 = 3¹ × 5² × 431¹

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 32325

List of positive integer factors of 32325 that divides 32310 without a remainder.

1, 3, 5, 15, 25, 75, 431, 1293, 2155, 6465, 10775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32310 and 32325. The biggest common factor number is the GCF number.
So the greatest common factor 32310 and 32325 is 15.

Also check out the Least Common Multiple of 32310 and 32325