What is the Greatest Common Factor of 60285 and 60301?

Greatest common factor (GCF) of 60285 and 60301 is 1.

GCF(60285,60301) = 1

We will now calculate the prime factors of 60285 and 60301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60285 and 60301.

How to find the GCF of 60285 and 60301?

We will first find the prime factorization of 60285 and 60301. After we will calculate the factors of 60285 and 60301 and find the biggest common factor number .

Step-1: Prime Factorization of 60285

Prime factors of 60285 are 3, 5, 4019. Prime factorization of 60285 in exponential form is:

60285 = 3¹ × 5¹ × 4019¹

Step-2: Prime Factorization of 60301

Prime factors of 60301 are 47, 1283. Prime factorization of 60301 in exponential form is:

60301 = 47¹ × 1283¹

Step-3: Factors of 60285

List of positive integer factors of 60285 that divides 60285 without a remainder.

1, 3, 5, 15, 4019, 12057, 20095

Step-4: Factors of 60301

List of positive integer factors of 60301 that divides 60285 without a remainder.

1, 47, 1283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60285 and 60301. The biggest common factor number is the GCF number.
So the greatest common factor 60285 and 60301 is 1.

Also check out the Least Common Multiple of 60285 and 60301