What is the Greatest Common Factor of 60165 and 60180?

Greatest common factor (GCF) of 60165 and 60180 is 15.

GCF(60165,60180) = 15

We will now calculate the prime factors of 60165 and 60180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60165 and 60180.

How to find the GCF of 60165 and 60180?

We will first find the prime factorization of 60165 and 60180. After we will calculate the factors of 60165 and 60180 and find the biggest common factor number .

Step-1: Prime Factorization of 60165

Prime factors of 60165 are 3, 5, 7, 191. Prime factorization of 60165 in exponential form is:

60165 = 3² × 5¹ × 7¹ × 191¹

Step-2: 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-3: Factors of 60165

List of positive integer factors of 60165 that divides 60165 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 191, 315, 573, 955, 1337, 1719, 2865, 4011, 6685, 8595, 12033, 20055

Step-4: Factors of 60180

List of positive integer factors of 60180 that divides 60165 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60165 and 60180. The biggest common factor number is the GCF number.
So the greatest common factor 60165 and 60180 is 15.

Also check out the Least Common Multiple of 60165 and 60180