What is the Greatest Common Factor of 60792 and 60798?

Greatest common factor (GCF) of 60792 and 60798 is 6.

GCF(60792,60798) = 6

We will now calculate the prime factors of 60792 and 60798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60792 and 60798.

How to find the GCF of 60792 and 60798?

We will first find the prime factorization of 60792 and 60798. After we will calculate the factors of 60792 and 60798 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 60798

Prime factors of 60798 are 2, 3, 10133. Prime factorization of 60798 in exponential form is:

60798 = 2¹ × 3¹ × 10133¹

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 60798

List of positive integer factors of 60798 that divides 60792 without a remainder.

1, 2, 3, 6, 10133, 20266, 30399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60792 and 60798. The biggest common factor number is the GCF number.
So the greatest common factor 60792 and 60798 is 6.

Also check out the Least Common Multiple of 60792 and 60798