What is the Greatest Common Factor of 60258 and 60273?

Greatest common factor (GCF) of 60258 and 60273 is 3.

GCF(60258,60273) = 3

We will now calculate the prime factors of 60258 and 60273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60258 and 60273.

How to find the GCF of 60258 and 60273?

We will first find the prime factorization of 60258 and 60273. After we will calculate the factors of 60258 and 60273 and find the biggest common factor number .

Step-1: Prime Factorization of 60258

Prime factors of 60258 are 2, 3, 11, 83. Prime factorization of 60258 in exponential form is:

60258 = 2¹ × 3¹ × 11² × 83¹

Step-2: 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-3: Factors of 60258

List of positive integer factors of 60258 that divides 60258 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 83, 121, 166, 242, 249, 363, 498, 726, 913, 1826, 2739, 5478, 10043, 20086, 30129

Step-4: Factors of 60273

List of positive integer factors of 60273 that divides 60258 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60258 and 60273. The biggest common factor number is the GCF number.
So the greatest common factor 60258 and 60273 is 3.

Also check out the Least Common Multiple of 60258 and 60273