What is the Greatest Common Factor of 60273 and 60279?

Greatest common factor (GCF) of 60273 and 60279 is 3.

GCF(60273,60279) = 3

We will now calculate the prime factors of 60273 and 60279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60273 and 60279.

How to find the GCF of 60273 and 60279?

We will first find the prime factorization of 60273 and 60279. After we will calculate the factors of 60273 and 60279 and find the biggest common factor number .

Step-1: Prime Factorization of 60273

Prime factors of 60273 are 3, 37, 181. Prime factorization of 60273 in exponential form is:

60273 = 3² × 37¹ × 181¹

Step-2: 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-3: Factors of 60273

List of positive integer factors of 60273 that divides 60273 without a remainder.

1, 3, 9, 37, 111, 181, 333, 543, 1629, 6697, 20091

Step-4: Factors of 60279

List of positive integer factors of 60279 that divides 60273 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60273 and 60279. The biggest common factor number is the GCF number.
So the greatest common factor 60273 and 60279 is 3.

Also check out the Least Common Multiple of 60273 and 60279