What is the Greatest Common Factor of 12683 and 12687?

Greatest common factor (GCF) of 12683 and 12687 is 1.

GCF(12683,12687) = 1

We will now calculate the prime factors of 12683 and 12687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12683 and 12687.

How to find the GCF of 12683 and 12687?

We will first find the prime factorization of 12683 and 12687. After we will calculate the factors of 12683 and 12687 and find the biggest common factor number .

Step-1: Prime Factorization of 12683

Prime factors of 12683 are 11, 1153. Prime factorization of 12683 in exponential form is:

12683 = 11¹ × 1153¹

Step-2: Prime Factorization of 12687

Prime factors of 12687 are 3, 4229. Prime factorization of 12687 in exponential form is:

12687 = 3¹ × 4229¹

Step-3: Factors of 12683

List of positive integer factors of 12683 that divides 12683 without a remainder.

1, 11, 1153

Step-4: Factors of 12687

List of positive integer factors of 12687 that divides 12683 without a remainder.

1, 3, 4229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12683 and 12687. The biggest common factor number is the GCF number.
So the greatest common factor 12683 and 12687 is 1.

Also check out the Least Common Multiple of 12683 and 12687