What is the Greatest Common Factor of 68299 and 68306?

Greatest common factor (GCF) of 68299 and 68306 is 7.

GCF(68299,68306) = 7

We will now calculate the prime factors of 68299 and 68306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68299 and 68306.

How to find the GCF of 68299 and 68306?

We will first find the prime factorization of 68299 and 68306. After we will calculate the factors of 68299 and 68306 and find the biggest common factor number .

Step-1: Prime Factorization of 68299

Prime factors of 68299 are 7, 11, 887. Prime factorization of 68299 in exponential form is:

68299 = 7¹ × 11¹ × 887¹

Step-2: Prime Factorization of 68306

Prime factors of 68306 are 2, 7, 17, 41. Prime factorization of 68306 in exponential form is:

68306 = 2¹ × 7² × 17¹ × 41¹

Step-3: Factors of 68299

List of positive integer factors of 68299 that divides 68299 without a remainder.

1, 7, 11, 77, 887, 6209, 9757

Step-4: Factors of 68306

List of positive integer factors of 68306 that divides 68299 without a remainder.

1, 2, 7, 14, 17, 34, 41, 49, 82, 98, 119, 238, 287, 574, 697, 833, 1394, 1666, 2009, 4018, 4879, 9758, 34153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68299 and 68306. The biggest common factor number is the GCF number.
So the greatest common factor 68299 and 68306 is 7.

Also check out the Least Common Multiple of 68299 and 68306