What is the Greatest Common Factor of 12989 and 13008?

Greatest common factor (GCF) of 12989 and 13008 is 1.

GCF(12989,13008) = 1

We will now calculate the prime factors of 12989 and 13008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12989 and 13008.

How to find the GCF of 12989 and 13008?

We will first find the prime factorization of 12989 and 13008. After we will calculate the factors of 12989 and 13008 and find the biggest common factor number .

Step-1: Prime Factorization of 12989

Prime factors of 12989 are 31, 419. Prime factorization of 12989 in exponential form is:

12989 = 31¹ × 419¹

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 12989

List of positive integer factors of 12989 that divides 12989 without a remainder.

1, 31, 419

Step-4: Factors of 13008

List of positive integer factors of 13008 that divides 12989 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 12989 and 13008. The biggest common factor number is the GCF number.
So the greatest common factor 12989 and 13008 is 1.

Also check out the Least Common Multiple of 12989 and 13008