What is the Greatest Common Factor of 68439 and 68445?

Greatest common factor (GCF) of 68439 and 68445 is 3.

GCF(68439,68445) = 3

We will now calculate the prime factors of 68439 and 68445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68439 and 68445.

How to find the GCF of 68439 and 68445?

We will first find the prime factorization of 68439 and 68445. After we will calculate the factors of 68439 and 68445 and find the biggest common factor number .

Step-1: Prime Factorization of 68439

Prime factors of 68439 are 3, 7, 3259. Prime factorization of 68439 in exponential form is:

68439 = 3¹ × 7¹ × 3259¹

Step-2: Prime Factorization of 68445

Prime factors of 68445 are 3, 5, 13. Prime factorization of 68445 in exponential form is:

68445 = 3⁴ × 5¹ × 13²

Step-3: Factors of 68439

List of positive integer factors of 68439 that divides 68439 without a remainder.

1, 3, 7, 21, 3259, 9777, 22813

Step-4: Factors of 68445

List of positive integer factors of 68445 that divides 68439 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 169, 195, 351, 405, 507, 585, 845, 1053, 1521, 1755, 2535, 4563, 5265, 7605, 13689, 22815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68439 and 68445. The biggest common factor number is the GCF number.
So the greatest common factor 68439 and 68445 is 3.

Also check out the Least Common Multiple of 68439 and 68445