What is the Greatest Common Factor of 68310 and 68321?

Greatest common factor (GCF) of 68310 and 68321 is 11.

GCF(68310,68321) = 11

We will now calculate the prime factors of 68310 and 68321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68310 and 68321.

How to find the GCF of 68310 and 68321?

We will first find the prime factorization of 68310 and 68321. After we will calculate the factors of 68310 and 68321 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 68321

Prime factors of 68321 are 11, 6211. Prime factorization of 68321 in exponential form is:

68321 = 11¹ × 6211¹

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 68321

List of positive integer factors of 68321 that divides 68310 without a remainder.

1, 11, 6211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68310 and 68321. The biggest common factor number is the GCF number.
So the greatest common factor 68310 and 68321 is 11.

Also check out the Least Common Multiple of 68310 and 68321