What is the Greatest Common Factor of 60258 and 60266?

Greatest common factor (GCF) of 60258 and 60266 is 2.

GCF(60258,60266) = 2

We will now calculate the prime factors of 60258 and 60266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60258 and 60266.

How to find the GCF of 60258 and 60266?

We will first find the prime factorization of 60258 and 60266. After we will calculate the factors of 60258 and 60266 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 60266

Prime factors of 60266 are 2, 30133. Prime factorization of 60266 in exponential form is:

60266 = 2¹ × 30133¹

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 60266

List of positive integer factors of 60266 that divides 60258 without a remainder.

1, 2, 30133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60258 and 60266. The biggest common factor number is the GCF number.
So the greatest common factor 60258 and 60266 is 2.

Also check out the Least Common Multiple of 60258 and 60266