What is the Greatest Common Factor of 68304 and 68310?

Greatest common factor (GCF) of 68304 and 68310 is 6.

GCF(68304,68310) = 6

We will now calculate the prime factors of 68304 and 68310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68304 and 68310.

How to find the GCF of 68304 and 68310?

We will first find the prime factorization of 68304 and 68310. After we will calculate the factors of 68304 and 68310 and find the biggest common factor number .

Step-1: Prime Factorization of 68304

Prime factors of 68304 are 2, 3, 1423. Prime factorization of 68304 in exponential form is:

68304 = 2⁴ × 3¹ × 1423¹

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 68304

List of positive integer factors of 68304 that divides 68304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1423, 2846, 4269, 5692, 8538, 11384, 17076, 22768, 34152

Step-4: Factors of 68310

List of positive integer factors of 68310 that divides 68304 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 68304 and 68310. The biggest common factor number is the GCF number.
So the greatest common factor 68304 and 68310 is 6.

Also check out the Least Common Multiple of 68304 and 68310