What is the Greatest Common Factor of 60774 and 60792?

Greatest common factor (GCF) of 60774 and 60792 is 6.

GCF(60774,60792) = 6

We will now calculate the prime factors of 60774 and 60792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60774 and 60792.

How to find the GCF of 60774 and 60792?

We will first find the prime factorization of 60774 and 60792. After we will calculate the factors of 60774 and 60792 and find the biggest common factor number .

Step-1: Prime Factorization of 60774

Prime factors of 60774 are 2, 3, 7, 1447. Prime factorization of 60774 in exponential form is:

60774 = 2¹ × 3¹ × 7¹ × 1447¹

Step-2: 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-3: Factors of 60774

List of positive integer factors of 60774 that divides 60774 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1447, 2894, 4341, 8682, 10129, 20258, 30387

Step-4: Factors of 60792

List of positive integer factors of 60792 that divides 60774 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60774 and 60792. The biggest common factor number is the GCF number.
So the greatest common factor 60774 and 60792 is 6.

Also check out the Least Common Multiple of 60774 and 60792