What is the Greatest Common Factor of 12666 and 12676?

Greatest common factor (GCF) of 12666 and 12676 is 2.

GCF(12666,12676) = 2

We will now calculate the prime factors of 12666 and 12676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12666 and 12676.

How to find the GCF of 12666 and 12676?

We will first find the prime factorization of 12666 and 12676. After we will calculate the factors of 12666 and 12676 and find the biggest common factor number .

Step-1: Prime Factorization of 12666

Prime factors of 12666 are 2, 3, 2111. Prime factorization of 12666 in exponential form is:

12666 = 2¹ × 3¹ × 2111¹

Step-2: Prime Factorization of 12676

Prime factors of 12676 are 2, 3169. Prime factorization of 12676 in exponential form is:

12676 = 2² × 3169¹

Step-3: Factors of 12666

List of positive integer factors of 12666 that divides 12666 without a remainder.

1, 2, 3, 6, 2111, 4222, 6333

Step-4: Factors of 12676

List of positive integer factors of 12676 that divides 12666 without a remainder.

1, 2, 4, 3169, 6338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12666 and 12676. The biggest common factor number is the GCF number.
So the greatest common factor 12666 and 12676 is 2.

Also check out the Least Common Multiple of 12666 and 12676