What is the Greatest Common Factor of 68310 and 68314?

Greatest common factor (GCF) of 68310 and 68314 is 2.

GCF(68310,68314) = 2

We will now calculate the prime factors of 68310 and 68314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68310 and 68314.

How to find the GCF of 68310 and 68314?

We will first find the prime factorization of 68310 and 68314. After we will calculate the factors of 68310 and 68314 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 68314

Prime factors of 68314 are 2, 34157. Prime factorization of 68314 in exponential form is:

68314 = 2¹ × 34157¹

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 68314

List of positive integer factors of 68314 that divides 68310 without a remainder.

1, 2, 34157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68310 and 68314. The biggest common factor number is the GCF number.
So the greatest common factor 68310 and 68314 is 2.

Also check out the Least Common Multiple of 68310 and 68314