What is the Greatest Common Factor of 60180 and 60198?

Greatest common factor (GCF) of 60180 and 60198 is 6.

GCF(60180,60198) = 6

We will now calculate the prime factors of 60180 and 60198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60180 and 60198.

How to find the GCF of 60180 and 60198?

We will first find the prime factorization of 60180 and 60198. After we will calculate the factors of 60180 and 60198 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 60198

Prime factors of 60198 are 2, 3, 79, 127. Prime factorization of 60198 in exponential form is:

60198 = 2¹ × 3¹ × 79¹ × 127¹

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 60198

List of positive integer factors of 60198 that divides 60180 without a remainder.

1, 2, 3, 6, 79, 127, 158, 237, 254, 381, 474, 762, 10033, 20066, 30099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60180 and 60198. The biggest common factor number is the GCF number.
So the greatest common factor 60180 and 60198 is 6.

Also check out the Least Common Multiple of 60180 and 60198