What is the Greatest Common Factor of 12649 and 12667?

Greatest common factor (GCF) of 12649 and 12667 is 1.

GCF(12649,12667) = 1

We will now calculate the prime factors of 12649 and 12667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12649 and 12667.

How to find the GCF of 12649 and 12667?

We will first find the prime factorization of 12649 and 12667. After we will calculate the factors of 12649 and 12667 and find the biggest common factor number .

Step-1: Prime Factorization of 12649

Prime factors of 12649 are 7, 13, 139. Prime factorization of 12649 in exponential form is:

12649 = 7¹ × 13¹ × 139¹

Step-2: Prime Factorization of 12667

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

12667 = 53¹ × 239¹

Step-3: Factors of 12649

List of positive integer factors of 12649 that divides 12649 without a remainder.

1, 7, 13, 91, 139, 973, 1807

Step-4: Factors of 12667

List of positive integer factors of 12667 that divides 12649 without a remainder.

1, 53, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12649 and 12667. The biggest common factor number is the GCF number.
So the greatest common factor 12649 and 12667 is 1.

Also check out the Least Common Multiple of 12649 and 12667