What is the Greatest Common Factor of 68269 and 68289?

Greatest common factor (GCF) of 68269 and 68289 is 1.

GCF(68269,68289) = 1

We will now calculate the prime factors of 68269 and 68289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68269 and 68289.

How to find the GCF of 68269 and 68289?

We will first find the prime factorization of 68269 and 68289. After we will calculate the factors of 68269 and 68289 and find the biggest common factor number .

Step-1: Prime Factorization of 68269

Prime factors of 68269 are 233, 293. Prime factorization of 68269 in exponential form is:

68269 = 233¹ × 293¹

Step-2: 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-3: Factors of 68269

List of positive integer factors of 68269 that divides 68269 without a remainder.

1, 233, 293

Step-4: Factors of 68289

List of positive integer factors of 68289 that divides 68269 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68269 and 68289. The biggest common factor number is the GCF number.
So the greatest common factor 68269 and 68289 is 1.

Also check out the Least Common Multiple of 68269 and 68289