What is the Greatest Common Factor of 68304 and 68322?

Greatest common factor (GCF) of 68304 and 68322 is 6.

GCF(68304,68322) = 6

We will now calculate the prime factors of 68304 and 68322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68304 and 68322.

How to find the GCF of 68304 and 68322?

We will first find the prime factorization of 68304 and 68322. After we will calculate the factors of 68304 and 68322 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 68322

Prime factors of 68322 are 2, 3, 59, 193. Prime factorization of 68322 in exponential form is:

68322 = 2¹ × 3¹ × 59¹ × 193¹

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 68322

List of positive integer factors of 68322 that divides 68304 without a remainder.

1, 2, 3, 6, 59, 118, 177, 193, 354, 386, 579, 1158, 11387, 22774, 34161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68304 and 68322. The biggest common factor number is the GCF number.
So the greatest common factor 68304 and 68322 is 6.

Also check out the Least Common Multiple of 68304 and 68322