What is the Greatest Common Factor of 32292 and 32310?

Greatest common factor (GCF) of 32292 and 32310 is 18.

GCF(32292,32310) = 18

We will now calculate the prime factors of 32292 and 32310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32292 and 32310.

How to find the GCF of 32292 and 32310?

We will first find the prime factorization of 32292 and 32310. After we will calculate the factors of 32292 and 32310 and find the biggest common factor number .

Step-1: Prime Factorization of 32292

Prime factors of 32292 are 2, 3, 13, 23. Prime factorization of 32292 in exponential form is:

32292 = 2² × 3³ × 13¹ × 23¹

Step-2: 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-3: Factors of 32292

List of positive integer factors of 32292 that divides 32292 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 23, 26, 27, 36, 39, 46, 52, 54, 69, 78, 92, 108, 117, 138, 156, 207, 234, 276, 299, 351, 414, 468, 598, 621, 702, 828, 897, 1196, 1242, 1404, 1794, 2484, 2691, 3588, 5382, 8073, 10764, 16146

Step-4: Factors of 32310

List of positive integer factors of 32310 that divides 32292 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32292 and 32310. The biggest common factor number is the GCF number.
So the greatest common factor 32292 and 32310 is 18.

Also check out the Least Common Multiple of 32292 and 32310