What is the Greatest Common Factor of 12992 and 13008?

Greatest common factor (GCF) of 12992 and 13008 is 16.

GCF(12992,13008) = 16

We will now calculate the prime factors of 12992 and 13008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12992 and 13008.

How to find the GCF of 12992 and 13008?

We will first find the prime factorization of 12992 and 13008. After we will calculate the factors of 12992 and 13008 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 13008

Prime factors of 13008 are 2, 3, 271. Prime factorization of 13008 in exponential form is:

13008 = 2⁴ × 3¹ × 271¹

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 13008

List of positive integer factors of 13008 that divides 12992 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 271, 542, 813, 1084, 1626, 2168, 3252, 4336, 6504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12992 and 13008. The biggest common factor number is the GCF number.
So the greatest common factor 12992 and 13008 is 16.

Also check out the Least Common Multiple of 12992 and 13008