What is the Greatest Common Factor of 12999 and 13013?

Greatest common factor (GCF) of 12999 and 13013 is 7.

GCF(12999,13013) = 7

We will now calculate the prime factors of 12999 and 13013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12999 and 13013.

How to find the GCF of 12999 and 13013?

We will first find the prime factorization of 12999 and 13013. After we will calculate the factors of 12999 and 13013 and find the biggest common factor number .

Step-1: Prime Factorization of 12999

Prime factors of 12999 are 3, 7, 619. Prime factorization of 12999 in exponential form is:

12999 = 3¹ × 7¹ × 619¹

Step-2: Prime Factorization of 13013

Prime factors of 13013 are 7, 11, 13. Prime factorization of 13013 in exponential form is:

13013 = 7¹ × 11¹ × 13²

Step-3: Factors of 12999

List of positive integer factors of 12999 that divides 12999 without a remainder.

1, 3, 7, 21, 619, 1857, 4333

Step-4: Factors of 13013

List of positive integer factors of 13013 that divides 12999 without a remainder.

1, 7, 11, 13, 77, 91, 143, 169, 1001, 1183, 1859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12999 and 13013. The biggest common factor number is the GCF number.
So the greatest common factor 12999 and 13013 is 7.

Also check out the Least Common Multiple of 12999 and 13013