What is the Greatest Common Factor of 32310 and 32314?

Greatest common factor (GCF) of 32310 and 32314 is 2.

GCF(32310,32314) = 2

We will now calculate the prime factors of 32310 and 32314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32310 and 32314.

How to find the GCF of 32310 and 32314?

We will first find the prime factorization of 32310 and 32314. After we will calculate the factors of 32310 and 32314 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 32314

Prime factors of 32314 are 2, 107, 151. Prime factorization of 32314 in exponential form is:

32314 = 2¹ × 107¹ × 151¹

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 32314

List of positive integer factors of 32314 that divides 32310 without a remainder.

1, 2, 107, 151, 214, 302, 16157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32310 and 32314. The biggest common factor number is the GCF number.
So the greatest common factor 32310 and 32314 is 2.

Also check out the Least Common Multiple of 32310 and 32314