What is the Greatest Common Factor of 12667 and 12680?

Greatest common factor (GCF) of 12667 and 12680 is 1.

GCF(12667,12680) = 1

We will now calculate the prime factors of 12667 and 12680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12667 and 12680.

How to find the GCF of 12667 and 12680?

We will first find the prime factorization of 12667 and 12680. After we will calculate the factors of 12667 and 12680 and find the biggest common factor number .

Step-1: Prime Factorization of 12667

Prime factors of 12667 are 53, 239. Prime factorization of 12667 in exponential form is:

12667 = 53¹ × 239¹

Step-2: Prime Factorization of 12680

Prime factors of 12680 are 2, 5, 317. Prime factorization of 12680 in exponential form is:

12680 = 2³ × 5¹ × 317¹

Step-3: Factors of 12667

List of positive integer factors of 12667 that divides 12667 without a remainder.

1, 53, 239

Step-4: Factors of 12680

List of positive integer factors of 12680 that divides 12667 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 317, 634, 1268, 1585, 2536, 3170, 6340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12667 and 12680. The biggest common factor number is the GCF number.
So the greatest common factor 12667 and 12680 is 1.

Also check out the Least Common Multiple of 12667 and 12680