What is the Greatest Common Factor of 68289 and 68293?

Greatest common factor (GCF) of 68289 and 68293 is 1.

GCF(68289,68293) = 1

We will now calculate the prime factors of 68289 and 68293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68289 and 68293.

How to find the GCF of 68289 and 68293?

We will first find the prime factorization of 68289 and 68293. After we will calculate the factors of 68289 and 68293 and find the biggest common factor number .

Step-1: Prime Factorization of 68289

Prime factors of 68289 are 3, 13, 17, 103. Prime factorization of 68289 in exponential form is:

68289 = 3¹ × 13¹ × 17¹ × 103¹

Step-2: Prime Factorization of 68293

Prime factors of 68293 are 31, 2203. Prime factorization of 68293 in exponential form is:

68293 = 31¹ × 2203¹

Step-3: Factors of 68289

List of positive integer factors of 68289 that divides 68289 without a remainder.

1, 3, 13, 17, 39, 51, 103, 221, 309, 663, 1339, 1751, 4017, 5253, 22763

Step-4: Factors of 68293

List of positive integer factors of 68293 that divides 68289 without a remainder.

1, 31, 2203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68289 and 68293. The biggest common factor number is the GCF number.
So the greatest common factor 68289 and 68293 is 1.

Also check out the Least Common Multiple of 68289 and 68293