What is the Greatest Common Factor of 60214 and 60230?

Greatest common factor (GCF) of 60214 and 60230 is 2.

GCF(60214,60230) = 2

We will now calculate the prime factors of 60214 and 60230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60214 and 60230.

How to find the GCF of 60214 and 60230?

We will first find the prime factorization of 60214 and 60230. After we will calculate the factors of 60214 and 60230 and find the biggest common factor number .

Step-1: Prime Factorization of 60214

Prime factors of 60214 are 2, 7, 11, 17, 23. Prime factorization of 60214 in exponential form is:

60214 = 2¹ × 7¹ × 11¹ × 17¹ × 23¹

Step-2: 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-3: Factors of 60214

List of positive integer factors of 60214 that divides 60214 without a remainder.

1, 2, 7, 11, 14, 17, 22, 23, 34, 46, 77, 119, 154, 161, 187, 238, 253, 322, 374, 391, 506, 782, 1309, 1771, 2618, 2737, 3542, 4301, 5474, 8602, 30107

Step-4: Factors of 60230

List of positive integer factors of 60230 that divides 60214 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60214 and 60230. The biggest common factor number is the GCF number.
So the greatest common factor 60214 and 60230 is 2.

Also check out the Least Common Multiple of 60214 and 60230