What is the Greatest Common Factor of 12777 and 12795?

Greatest common factor (GCF) of 12777 and 12795 is 3.

GCF(12777,12795) = 3

We will now calculate the prime factors of 12777 and 12795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12777 and 12795.

How to find the GCF of 12777 and 12795?

We will first find the prime factorization of 12777 and 12795. After we will calculate the factors of 12777 and 12795 and find the biggest common factor number .

Step-1: Prime Factorization of 12777

Prime factors of 12777 are 3, 4259. Prime factorization of 12777 in exponential form is:

12777 = 3¹ × 4259¹

Step-2: Prime Factorization of 12795

Prime factors of 12795 are 3, 5, 853. Prime factorization of 12795 in exponential form is:

12795 = 3¹ × 5¹ × 853¹

Step-3: Factors of 12777

List of positive integer factors of 12777 that divides 12777 without a remainder.

1, 3, 4259

Step-4: Factors of 12795

List of positive integer factors of 12795 that divides 12777 without a remainder.

1, 3, 5, 15, 853, 2559, 4265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12777 and 12795. The biggest common factor number is the GCF number.
So the greatest common factor 12777 and 12795 is 3.

Also check out the Least Common Multiple of 12777 and 12795