What is the Greatest Common Factor of 60258 and 60269?

Greatest common factor (GCF) of 60258 and 60269 is 11.

GCF(60258,60269) = 11

We will now calculate the prime factors of 60258 and 60269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60258 and 60269.

How to find the GCF of 60258 and 60269?

We will first find the prime factorization of 60258 and 60269. After we will calculate the factors of 60258 and 60269 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 60269

Prime factors of 60269 are 11, 5479. Prime factorization of 60269 in exponential form is:

60269 = 11¹ × 5479¹

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 60269

List of positive integer factors of 60269 that divides 60258 without a remainder.

1, 11, 5479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60258 and 60269. The biggest common factor number is the GCF number.
So the greatest common factor 60258 and 60269 is 11.

Also check out the Least Common Multiple of 60258 and 60269