What is the Greatest Common Factor of 60345 and 60365?

Greatest common factor (GCF) of 60345 and 60365 is 5.

GCF(60345,60365) = 5

We will now calculate the prime factors of 60345 and 60365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60345 and 60365.

How to find the GCF of 60345 and 60365?

We will first find the prime factorization of 60345 and 60365. After we will calculate the factors of 60345 and 60365 and find the biggest common factor number .

Step-1: Prime Factorization of 60345

Prime factors of 60345 are 3, 5, 149. Prime factorization of 60345 in exponential form is:

60345 = 3⁴ × 5¹ × 149¹

Step-2: Prime Factorization of 60365

Prime factors of 60365 are 5, 12073. Prime factorization of 60365 in exponential form is:

60365 = 5¹ × 12073¹

Step-3: Factors of 60345

List of positive integer factors of 60345 that divides 60345 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 149, 405, 447, 745, 1341, 2235, 4023, 6705, 12069, 20115

Step-4: Factors of 60365

List of positive integer factors of 60365 that divides 60345 without a remainder.

1, 5, 12073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60345 and 60365. The biggest common factor number is the GCF number.
So the greatest common factor 60345 and 60365 is 5.

Also check out the Least Common Multiple of 60345 and 60365