What is the Greatest Common Factor of 12774 and 12780?

Greatest common factor (GCF) of 12774 and 12780 is 6.

GCF(12774,12780) = 6

We will now calculate the prime factors of 12774 and 12780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12774 and 12780.

How to find the GCF of 12774 and 12780?

We will first find the prime factorization of 12774 and 12780. After we will calculate the factors of 12774 and 12780 and find the biggest common factor number .

Step-1: Prime Factorization of 12774

Prime factors of 12774 are 2, 3, 2129. Prime factorization of 12774 in exponential form is:

12774 = 2¹ × 3¹ × 2129¹

Step-2: Prime Factorization of 12780

Prime factors of 12780 are 2, 3, 5, 71. Prime factorization of 12780 in exponential form is:

12780 = 2² × 3² × 5¹ × 71¹

Step-3: Factors of 12774

List of positive integer factors of 12774 that divides 12774 without a remainder.

1, 2, 3, 6, 2129, 4258, 6387

Step-4: Factors of 12780

List of positive integer factors of 12780 that divides 12774 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 71, 90, 142, 180, 213, 284, 355, 426, 639, 710, 852, 1065, 1278, 1420, 2130, 2556, 3195, 4260, 6390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12774 and 12780. The biggest common factor number is the GCF number.
So the greatest common factor 12774 and 12780 is 6.

Also check out the Least Common Multiple of 12774 and 12780