What is the Greatest Common Factor of 68310 and 68323?

Greatest common factor (GCF) of 68310 and 68323 is 1.

GCF(68310,68323) = 1

We will now calculate the prime factors of 68310 and 68323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68310 and 68323.

How to find the GCF of 68310 and 68323?

We will first find the prime factorization of 68310 and 68323. After we will calculate the factors of 68310 and 68323 and find the biggest common factor number .

Step-1: Prime Factorization of 68310

Prime factors of 68310 are 2, 3, 5, 11, 23. Prime factorization of 68310 in exponential form is:

68310 = 2¹ × 3³ × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 68323

Prime factors of 68323 are 17, 4019. Prime factorization of 68323 in exponential form is:

68323 = 17¹ × 4019¹

Step-3: Factors of 68310

List of positive integer factors of 68310 that divides 68310 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 23, 27, 30, 33, 45, 46, 54, 55, 66, 69, 90, 99, 110, 115, 135, 138, 165, 198, 207, 230, 253, 270, 297, 330, 345, 414, 495, 506, 594, 621, 690, 759, 990, 1035, 1242, 1265, 1485, 1518, 2070, 2277, 2530, 2970, 3105, 3795, 4554, 6210, 6831, 7590, 11385, 13662, 22770, 34155

Step-4: Factors of 68323

List of positive integer factors of 68323 that divides 68310 without a remainder.

1, 17, 4019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68310 and 68323. The biggest common factor number is the GCF number.
So the greatest common factor 68310 and 68323 is 1.

Also check out the Least Common Multiple of 68310 and 68323