What is the Greatest Common Factor of 60230 and 60240?

Greatest common factor (GCF) of 60230 and 60240 is 10.

GCF(60230,60240) = 10

We will now calculate the prime factors of 60230 and 60240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60230 and 60240.

How to find the GCF of 60230 and 60240?

We will first find the prime factorization of 60230 and 60240. After we will calculate the factors of 60230 and 60240 and find the biggest common factor number .

Step-1: Prime Factorization of 60230

Prime factors of 60230 are 2, 5, 19, 317. Prime factorization of 60230 in exponential form is:

60230 = 2¹ × 5¹ × 19¹ × 317¹

Step-2: 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-3: Factors of 60230

List of positive integer factors of 60230 that divides 60230 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 317, 634, 1585, 3170, 6023, 12046, 30115

Step-4: Factors of 60240

List of positive integer factors of 60240 that divides 60230 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60230 and 60240. The biggest common factor number is the GCF number.
So the greatest common factor 60230 and 60240 is 10.

Also check out the Least Common Multiple of 60230 and 60240