What is the Greatest Common Factor of 60240 and 60258?

Greatest common factor (GCF) of 60240 and 60258 is 6.

GCF(60240,60258) = 6

We will now calculate the prime factors of 60240 and 60258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60240 and 60258.

How to find the GCF of 60240 and 60258?

We will first find the prime factorization of 60240 and 60258. After we will calculate the factors of 60240 and 60258 and find the biggest common factor number .

Step-1: Prime Factorization of 60240

Prime factors of 60240 are 2, 3, 5, 251. Prime factorization of 60240 in exponential form is:

60240 = 2⁴ × 3¹ × 5¹ × 251¹

Step-2: 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-3: Factors of 60240

List of positive integer factors of 60240 that divides 60240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 251, 502, 753, 1004, 1255, 1506, 2008, 2510, 3012, 3765, 4016, 5020, 6024, 7530, 10040, 12048, 15060, 20080, 30120

Step-4: Factors of 60258

List of positive integer factors of 60258 that divides 60240 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60240 and 60258. The biggest common factor number is the GCF number.
So the greatest common factor 60240 and 60258 is 6.

Also check out the Least Common Multiple of 60240 and 60258