What is the Greatest Common Factor of 12992 and 13004?

Greatest common factor (GCF) of 12992 and 13004 is 4.

GCF(12992,13004) = 4

We will now calculate the prime factors of 12992 and 13004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12992 and 13004.

How to find the GCF of 12992 and 13004?

We will first find the prime factorization of 12992 and 13004. After we will calculate the factors of 12992 and 13004 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 13004

Prime factors of 13004 are 2, 3251. Prime factorization of 13004 in exponential form is:

13004 = 2² × 3251¹

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 13004

List of positive integer factors of 13004 that divides 12992 without a remainder.

1, 2, 4, 3251, 6502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12992 and 13004. The biggest common factor number is the GCF number.
So the greatest common factor 12992 and 13004 is 4.

Also check out the Least Common Multiple of 12992 and 13004