What is the Greatest Common Factor of 60180 and 60192?

Greatest common factor (GCF) of 60180 and 60192 is 12.

GCF(60180,60192) = 12

We will now calculate the prime factors of 60180 and 60192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60180 and 60192.

How to find the GCF of 60180 and 60192?

We will first find the prime factorization of 60180 and 60192. After we will calculate the factors of 60180 and 60192 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 60192

Prime factors of 60192 are 2, 3, 11, 19. Prime factorization of 60192 in exponential form is:

60192 = 2⁵ × 3² × 11¹ × 19¹

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 60192

List of positive integer factors of 60192 that divides 60180 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 19, 22, 24, 32, 33, 36, 38, 44, 48, 57, 66, 72, 76, 88, 96, 99, 114, 132, 144, 152, 171, 176, 198, 209, 228, 264, 288, 304, 342, 352, 396, 418, 456, 528, 608, 627, 684, 792, 836, 912, 1056, 1254, 1368, 1584, 1672, 1824, 1881, 2508, 2736, 3168, 3344, 3762, 5016, 5472, 6688, 7524, 10032, 15048, 20064, 30096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60180 and 60192. The biggest common factor number is the GCF number.
So the greatest common factor 60180 and 60192 is 12.

Also check out the Least Common Multiple of 60180 and 60192