What is the Greatest Common Factor of 60258 and 60262?

Greatest common factor (GCF) of 60258 and 60262 is 2.

GCF(60258,60262) = 2

We will now calculate the prime factors of 60258 and 60262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60258 and 60262.

How to find the GCF of 60258 and 60262?

We will first find the prime factorization of 60258 and 60262. After we will calculate the factors of 60258 and 60262 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 60262

Prime factors of 60262 are 2, 29, 1039. Prime factorization of 60262 in exponential form is:

60262 = 2¹ × 29¹ × 1039¹

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 60262

List of positive integer factors of 60262 that divides 60258 without a remainder.

1, 2, 29, 58, 1039, 2078, 30131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60258 and 60262. The biggest common factor number is the GCF number.
So the greatest common factor 60258 and 60262 is 2.

Also check out the Least Common Multiple of 60258 and 60262