What is the Greatest Common Factor of 12986 and 13002?

Greatest common factor (GCF) of 12986 and 13002 is 2.

GCF(12986,13002) = 2

We will now calculate the prime factors of 12986 and 13002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12986 and 13002.

How to find the GCF of 12986 and 13002?

We will first find the prime factorization of 12986 and 13002. After we will calculate the factors of 12986 and 13002 and find the biggest common factor number .

Step-1: Prime Factorization of 12986

Prime factors of 12986 are 2, 43, 151. Prime factorization of 12986 in exponential form is:

12986 = 2¹ × 43¹ × 151¹

Step-2: Prime Factorization of 13002

Prime factors of 13002 are 2, 3, 11, 197. Prime factorization of 13002 in exponential form is:

13002 = 2¹ × 3¹ × 11¹ × 197¹

Step-3: Factors of 12986

List of positive integer factors of 12986 that divides 12986 without a remainder.

1, 2, 43, 86, 151, 302, 6493

Step-4: Factors of 13002

List of positive integer factors of 13002 that divides 12986 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 197, 394, 591, 1182, 2167, 4334, 6501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12986 and 13002. The biggest common factor number is the GCF number.
So the greatest common factor 12986 and 13002 is 2.

Also check out the Least Common Multiple of 12986 and 13002