What is the Greatest Common Factor of 60279 and 60285?

Greatest common factor (GCF) of 60279 and 60285 is 3.

GCF(60279,60285) = 3

We will now calculate the prime factors of 60279 and 60285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60279 and 60285.

How to find the GCF of 60279 and 60285?

We will first find the prime factorization of 60279 and 60285. After we will calculate the factors of 60279 and 60285 and find the biggest common factor number .

Step-1: Prime Factorization of 60279

Prime factors of 60279 are 3, 71, 283. Prime factorization of 60279 in exponential form is:

60279 = 3¹ × 71¹ × 283¹

Step-2: 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-3: Factors of 60279

List of positive integer factors of 60279 that divides 60279 without a remainder.

1, 3, 71, 213, 283, 849, 20093

Step-4: Factors of 60285

List of positive integer factors of 60285 that divides 60279 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60279 and 60285. The biggest common factor number is the GCF number.
So the greatest common factor 60279 and 60285 is 3.

Also check out the Least Common Multiple of 60279 and 60285