What is the Greatest Common Factor of 68289 and 68296?

Greatest common factor (GCF) of 68289 and 68296 is 1.

GCF(68289,68296) = 1

We will now calculate the prime factors of 68289 and 68296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68289 and 68296.

How to find the GCF of 68289 and 68296?

We will first find the prime factorization of 68289 and 68296. After we will calculate the factors of 68289 and 68296 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 68296

Prime factors of 68296 are 2, 8537. Prime factorization of 68296 in exponential form is:

68296 = 2³ × 8537¹

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 68296

List of positive integer factors of 68296 that divides 68289 without a remainder.

1, 2, 4, 8, 8537, 17074, 34148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68289 and 68296. The biggest common factor number is the GCF number.
So the greatest common factor 68289 and 68296 is 1.

Also check out the Least Common Multiple of 68289 and 68296