What is the Greatest Common Factor of 60258 and 60272?

Greatest common factor (GCF) of 60258 and 60272 is 2.

GCF(60258,60272) = 2

We will now calculate the prime factors of 60258 and 60272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60258 and 60272.

How to find the GCF of 60258 and 60272?

We will first find the prime factorization of 60258 and 60272. After we will calculate the factors of 60258 and 60272 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 60272

Prime factors of 60272 are 2, 3767. Prime factorization of 60272 in exponential form is:

60272 = 2⁴ × 3767¹

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 60272

List of positive integer factors of 60272 that divides 60258 without a remainder.

1, 2, 4, 8, 16, 3767, 7534, 15068, 30136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60258 and 60272. The biggest common factor number is the GCF number.
So the greatest common factor 60258 and 60272 is 2.

Also check out the Least Common Multiple of 60258 and 60272