GCF and LCM Calculator Logo

What is the Greatest Common Factor of 32310 and 32320?

Greatest common factor (GCF) of 32310 and 32320 is 10.

GCF(32310,32320) = 10

We will now calculate the prime factors of 32310 and 32320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32310 and 32320.

GCF Calculator and
and

How to find the GCF of 32310 and 32320?

We will first find the prime factorization of 32310 and 32320. After we will calculate the factors of 32310 and 32320 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 32320

Prime factors of 32320 are 2, 5, 101. Prime factorization of 32320 in exponential form is:

32320 = 26 × 51 × 1011

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 32320

List of positive integer factors of 32320 that divides 32310 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 101, 160, 202, 320, 404, 505, 808, 1010, 1616, 2020, 3232, 4040, 6464, 8080, 16160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32310 and 32320. The biggest common factor number is the GCF number.
So the greatest common factor 32310 and 32320 is 10.

Also check out the Least Common Multiple of 32310 and 32320