What is the Greatest Common Factor of 60180 and 60186?

Greatest common factor (GCF) of 60180 and 60186 is 6.

GCF(60180,60186) = 6

We will now calculate the prime factors of 60180 and 60186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60180 and 60186.

How to find the GCF of 60180 and 60186?

We will first find the prime factorization of 60180 and 60186. After we will calculate the factors of 60180 and 60186 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 60186

Prime factors of 60186 are 2, 3, 7, 1433. Prime factorization of 60186 in exponential form is:

60186 = 2¹ × 3¹ × 7¹ × 1433¹

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 60186

List of positive integer factors of 60186 that divides 60180 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1433, 2866, 4299, 8598, 10031, 20062, 30093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60180 and 60186. The biggest common factor number is the GCF number.
So the greatest common factor 60180 and 60186 is 6.

Also check out the Least Common Multiple of 60180 and 60186