What is the Greatest Common Factor of 12765 and 12774?

Greatest common factor (GCF) of 12765 and 12774 is 3.

GCF(12765,12774) = 3

We will now calculate the prime factors of 12765 and 12774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12765 and 12774.

How to find the GCF of 12765 and 12774?

We will first find the prime factorization of 12765 and 12774. After we will calculate the factors of 12765 and 12774 and find the biggest common factor number .

Step-1: Prime Factorization of 12765

Prime factors of 12765 are 3, 5, 23, 37. Prime factorization of 12765 in exponential form is:

12765 = 3¹ × 5¹ × 23¹ × 37¹

Step-2: 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-3: Factors of 12765

List of positive integer factors of 12765 that divides 12765 without a remainder.

1, 3, 5, 15, 23, 37, 69, 111, 115, 185, 345, 555, 851, 2553, 4255

Step-4: Factors of 12774

List of positive integer factors of 12774 that divides 12765 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12765 and 12774. The biggest common factor number is the GCF number.
So the greatest common factor 12765 and 12774 is 3.

Also check out the Least Common Multiple of 12765 and 12774