What is the Greatest Common Factor of 68302 and 68317?

Greatest common factor (GCF) of 68302 and 68317 is 1.

GCF(68302,68317) = 1

We will now calculate the prime factors of 68302 and 68317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68302 and 68317.

How to find the GCF of 68302 and 68317?

We will first find the prime factorization of 68302 and 68317. After we will calculate the factors of 68302 and 68317 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68317

Prime factors of 68317 are 53, 1289. Prime factorization of 68317 in exponential form is:

68317 = 53¹ × 1289¹

Step-3: Factors of 68302

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

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

Step-4: Factors of 68317

List of positive integer factors of 68317 that divides 68302 without a remainder.

1, 53, 1289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68302 and 68317. The biggest common factor number is the GCF number.
So the greatest common factor 68302 and 68317 is 1.

Also check out the Least Common Multiple of 68302 and 68317