What is the Greatest Common Factor of 60792 and 60804?

Greatest common factor (GCF) of 60792 and 60804 is 12.

GCF(60792,60804) = 12

We will now calculate the prime factors of 60792 and 60804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60792 and 60804.

How to find the GCF of 60792 and 60804?

We will first find the prime factorization of 60792 and 60804. After we will calculate the factors of 60792 and 60804 and find the biggest common factor number .

Step-1: Prime Factorization of 60792

Prime factors of 60792 are 2, 3, 17, 149. Prime factorization of 60792 in exponential form is:

60792 = 2³ × 3¹ × 17¹ × 149¹

Step-2: Prime Factorization of 60804

Prime factors of 60804 are 2, 3, 563. Prime factorization of 60804 in exponential form is:

60804 = 2² × 3³ × 563¹

Step-3: Factors of 60792

List of positive integer factors of 60792 that divides 60792 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 149, 204, 298, 408, 447, 596, 894, 1192, 1788, 2533, 3576, 5066, 7599, 10132, 15198, 20264, 30396

Step-4: Factors of 60804

List of positive integer factors of 60804 that divides 60792 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 563, 1126, 1689, 2252, 3378, 5067, 6756, 10134, 15201, 20268, 30402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60792 and 60804. The biggest common factor number is the GCF number.
So the greatest common factor 60792 and 60804 is 12.

Also check out the Least Common Multiple of 60792 and 60804