What is the Greatest Common Factor of 12992 and 13006?

Greatest common factor (GCF) of 12992 and 13006 is 14.

GCF(12992,13006) = 14

We will now calculate the prime factors of 12992 and 13006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12992 and 13006.

How to find the GCF of 12992 and 13006?

We will first find the prime factorization of 12992 and 13006. After we will calculate the factors of 12992 and 13006 and find the biggest common factor number .

Step-1: Prime Factorization of 12992

Prime factors of 12992 are 2, 7, 29. Prime factorization of 12992 in exponential form is:

12992 = 2⁶ × 7¹ × 29¹

Step-2: Prime Factorization of 13006

Prime factors of 13006 are 2, 7, 929. Prime factorization of 13006 in exponential form is:

13006 = 2¹ × 7¹ × 929¹

Step-3: Factors of 12992

List of positive integer factors of 12992 that divides 12992 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 56, 58, 64, 112, 116, 203, 224, 232, 406, 448, 464, 812, 928, 1624, 1856, 3248, 6496

Step-4: Factors of 13006

List of positive integer factors of 13006 that divides 12992 without a remainder.

1, 2, 7, 14, 929, 1858, 6503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12992 and 13006. The biggest common factor number is the GCF number.
So the greatest common factor 12992 and 13006 is 14.

Also check out the Least Common Multiple of 12992 and 13006