What is the Greatest Common Factor of 68445 and 68454?

Greatest common factor (GCF) of 68445 and 68454 is 9.

GCF(68445,68454) = 9

We will now calculate the prime factors of 68445 and 68454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68445 and 68454.

How to find the GCF of 68445 and 68454?

We will first find the prime factorization of 68445 and 68454. After we will calculate the factors of 68445 and 68454 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68454

Prime factors of 68454 are 2, 3, 3803. Prime factorization of 68454 in exponential form is:

68454 = 2¹ × 3² × 3803¹

Step-3: Factors of 68445

List of positive integer factors of 68445 that divides 68445 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

Step-4: Factors of 68454

List of positive integer factors of 68454 that divides 68445 without a remainder.

1, 2, 3, 6, 9, 18, 3803, 7606, 11409, 22818, 34227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68445 and 68454. The biggest common factor number is the GCF number.
So the greatest common factor 68445 and 68454 is 9.

Also check out the Least Common Multiple of 68445 and 68454