What is the Greatest Common Factor of 68397 and 68406?

Greatest common factor (GCF) of 68397 and 68406 is 3.

GCF(68397,68406) = 3

We will now calculate the prime factors of 68397 and 68406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68397 and 68406.

How to find the GCF of 68397 and 68406?

We will first find the prime factorization of 68397 and 68406. After we will calculate the factors of 68397 and 68406 and find the biggest common factor number .

Step-1: Prime Factorization of 68397

Prime factors of 68397 are 3, 7, 3257. Prime factorization of 68397 in exponential form is:

68397 = 3¹ × 7¹ × 3257¹

Step-2: Prime Factorization of 68406

Prime factors of 68406 are 2, 3, 13, 877. Prime factorization of 68406 in exponential form is:

68406 = 2¹ × 3¹ × 13¹ × 877¹

Step-3: Factors of 68397

List of positive integer factors of 68397 that divides 68397 without a remainder.

1, 3, 7, 21, 3257, 9771, 22799

Step-4: Factors of 68406

List of positive integer factors of 68406 that divides 68397 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 877, 1754, 2631, 5262, 11401, 22802, 34203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68397 and 68406. The biggest common factor number is the GCF number.
So the greatest common factor 68397 and 68406 is 3.

Also check out the Least Common Multiple of 68397 and 68406