What is the Greatest Common Factor of 68289 and 68302?

Greatest common factor (GCF) of 68289 and 68302 is 13.

GCF(68289,68302) = 13

We will now calculate the prime factors of 68289 and 68302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68289 and 68302.

How to find the GCF of 68289 and 68302?

We will first find the prime factorization of 68289 and 68302. After we will calculate the factors of 68289 and 68302 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 68302

Prime factors of 68302 are 2, 13, 37, 71. Prime factorization of 68302 in exponential form is:

68302 = 2¹ × 13¹ × 37¹ × 71¹

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 68302

List of positive integer factors of 68302 that divides 68289 without a remainder.

1, 2, 13, 26, 37, 71, 74, 142, 481, 923, 962, 1846, 2627, 5254, 34151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68289 and 68302. The biggest common factor number is the GCF number.
So the greatest common factor 68289 and 68302 is 13.

Also check out the Least Common Multiple of 68289 and 68302