What is the Greatest Common Factor of 68300 and 68310?

Greatest common factor (GCF) of 68300 and 68310 is 10.

GCF(68300,68310) = 10

We will now calculate the prime factors of 68300 and 68310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68300 and 68310.

How to find the GCF of 68300 and 68310?

We will first find the prime factorization of 68300 and 68310. After we will calculate the factors of 68300 and 68310 and find the biggest common factor number .

Step-1: Prime Factorization of 68300

Prime factors of 68300 are 2, 5, 683. Prime factorization of 68300 in exponential form is:

68300 = 2² × 5² × 683¹

Step-2: 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-3: Factors of 68300

List of positive integer factors of 68300 that divides 68300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 683, 1366, 2732, 3415, 6830, 13660, 17075, 34150

Step-4: Factors of 68310

List of positive integer factors of 68310 that divides 68300 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68300 and 68310. The biggest common factor number is the GCF number.
So the greatest common factor 68300 and 68310 is 10.

Also check out the Least Common Multiple of 68300 and 68310