What is the Greatest Common Factor of 12677 and 12691?

Greatest common factor (GCF) of 12677 and 12691 is 7.

GCF(12677,12691) = 7

We will now calculate the prime factors of 12677 and 12691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12677 and 12691.

How to find the GCF of 12677 and 12691?

We will first find the prime factorization of 12677 and 12691. After we will calculate the factors of 12677 and 12691 and find the biggest common factor number .

Step-1: Prime Factorization of 12677

Prime factors of 12677 are 7, 1811. Prime factorization of 12677 in exponential form is:

12677 = 7¹ × 1811¹

Step-2: Prime Factorization of 12691

Prime factors of 12691 are 7, 37. Prime factorization of 12691 in exponential form is:

12691 = 7³ × 37¹

Step-3: Factors of 12677

List of positive integer factors of 12677 that divides 12677 without a remainder.

1, 7, 1811

Step-4: Factors of 12691

List of positive integer factors of 12691 that divides 12677 without a remainder.

1, 7, 37, 49, 259, 343, 1813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12677 and 12691. The biggest common factor number is the GCF number.
So the greatest common factor 12677 and 12691 is 7.

Also check out the Least Common Multiple of 12677 and 12691