What is the Greatest Common Factor of 60180 and 60190?

Greatest common factor (GCF) of 60180 and 60190 is 10.

GCF(60180,60190) = 10

We will now calculate the prime factors of 60180 and 60190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60180 and 60190.

How to find the GCF of 60180 and 60190?

We will first find the prime factorization of 60180 and 60190. After we will calculate the factors of 60180 and 60190 and find the biggest common factor number .

Step-1: Prime Factorization of 60180

Prime factors of 60180 are 2, 3, 5, 17, 59. Prime factorization of 60180 in exponential form is:

60180 = 2² × 3¹ × 5¹ × 17¹ × 59¹

Step-2: Prime Factorization of 60190

Prime factors of 60190 are 2, 5, 13, 463. Prime factorization of 60190 in exponential form is:

60190 = 2¹ × 5¹ × 13¹ × 463¹

Step-3: Factors of 60180

List of positive integer factors of 60180 that divides 60180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 59, 60, 68, 85, 102, 118, 170, 177, 204, 236, 255, 295, 340, 354, 510, 590, 708, 885, 1003, 1020, 1180, 1770, 2006, 3009, 3540, 4012, 5015, 6018, 10030, 12036, 15045, 20060, 30090

Step-4: Factors of 60190

List of positive integer factors of 60190 that divides 60180 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 463, 926, 2315, 4630, 6019, 12038, 30095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60180 and 60190. The biggest common factor number is the GCF number.
So the greatest common factor 60180 and 60190 is 10.

Also check out the Least Common Multiple of 60180 and 60190