What is the Greatest Common Factor of 60211 and 60230?

Greatest common factor (GCF) of 60211 and 60230 is 19.

GCF(60211,60230) = 19

We will now calculate the prime factors of 60211 and 60230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60211 and 60230.

How to find the GCF of 60211 and 60230?

We will first find the prime factorization of 60211 and 60230. After we will calculate the factors of 60211 and 60230 and find the biggest common factor number .

Step-1: Prime Factorization of 60211

Prime factors of 60211 are 19, 3169. Prime factorization of 60211 in exponential form is:

60211 = 19¹ × 3169¹

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 60211

List of positive integer factors of 60211 that divides 60211 without a remainder.

1, 19, 3169

Step-4: Factors of 60230

List of positive integer factors of 60230 that divides 60211 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 60211 and 60230. The biggest common factor number is the GCF number.
So the greatest common factor 60211 and 60230 is 19.

Also check out the Least Common Multiple of 60211 and 60230