What is the Greatest Common Factor of 60258 and 60267?

Greatest common factor (GCF) of 60258 and 60267 is 3.

GCF(60258,60267) = 3

We will now calculate the prime factors of 60258 and 60267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60258 and 60267.

How to find the GCF of 60258 and 60267?

We will first find the prime factorization of 60258 and 60267. After we will calculate the factors of 60258 and 60267 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 60267

Prime factors of 60267 are 3, 20089. Prime factorization of 60267 in exponential form is:

60267 = 3¹ × 20089¹

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 60267

List of positive integer factors of 60267 that divides 60258 without a remainder.

1, 3, 20089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60258 and 60267. The biggest common factor number is the GCF number.
So the greatest common factor 60258 and 60267 is 3.

Also check out the Least Common Multiple of 60258 and 60267