What is the Greatest Common Factor of 12665 and 12677?

Greatest common factor (GCF) of 12665 and 12677 is 1.

GCF(12665,12677) = 1

We will now calculate the prime factors of 12665 and 12677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12665 and 12677.

How to find the GCF of 12665 and 12677?

We will first find the prime factorization of 12665 and 12677. After we will calculate the factors of 12665 and 12677 and find the biggest common factor number .

Step-1: Prime Factorization of 12665

Prime factors of 12665 are 5, 17, 149. Prime factorization of 12665 in exponential form is:

12665 = 5¹ × 17¹ × 149¹

Step-2: Prime Factorization of 12677

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

12677 = 7¹ × 1811¹

Step-3: Factors of 12665

List of positive integer factors of 12665 that divides 12665 without a remainder.

1, 5, 17, 85, 149, 745, 2533

Step-4: Factors of 12677

List of positive integer factors of 12677 that divides 12665 without a remainder.

1, 7, 1811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12665 and 12677. The biggest common factor number is the GCF number.
So the greatest common factor 12665 and 12677 is 1.

Also check out the Least Common Multiple of 12665 and 12677