What is the Greatest Common Factor of 68310 and 68318?

Greatest common factor (GCF) of 68310 and 68318 is 2.

GCF(68310,68318) = 2

We will now calculate the prime factors of 68310 and 68318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68310 and 68318.

How to find the GCF of 68310 and 68318?

We will first find the prime factorization of 68310 and 68318. After we will calculate the factors of 68310 and 68318 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 68318

Prime factors of 68318 are 2, 34159. Prime factorization of 68318 in exponential form is:

68318 = 2¹ × 34159¹

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 68318

List of positive integer factors of 68318 that divides 68310 without a remainder.

1, 2, 34159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68310 and 68318. The biggest common factor number is the GCF number.
So the greatest common factor 68310 and 68318 is 2.

Also check out the Least Common Multiple of 68310 and 68318