What is the Greatest Common Factor of 60345 and 60361?

Greatest common factor (GCF) of 60345 and 60361 is 1.

GCF(60345,60361) = 1

We will now calculate the prime factors of 60345 and 60361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60345 and 60361.

How to find the GCF of 60345 and 60361?

We will first find the prime factorization of 60345 and 60361. After we will calculate the factors of 60345 and 60361 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 60361

Prime factors of 60361 are 7, 8623. Prime factorization of 60361 in exponential form is:

60361 = 7¹ × 8623¹

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 60361

List of positive integer factors of 60361 that divides 60345 without a remainder.

1, 7, 8623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60345 and 60361. The biggest common factor number is the GCF number.
So the greatest common factor 60345 and 60361 is 1.

Also check out the Least Common Multiple of 60345 and 60361