What is the Greatest Common Factor of 12993 and 13002?

Greatest common factor (GCF) of 12993 and 13002 is 3.

GCF(12993,13002) = 3

We will now calculate the prime factors of 12993 and 13002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12993 and 13002.

How to find the GCF of 12993 and 13002?

We will first find the prime factorization of 12993 and 13002. After we will calculate the factors of 12993 and 13002 and find the biggest common factor number .

Step-1: Prime Factorization of 12993

Prime factors of 12993 are 3, 61, 71. Prime factorization of 12993 in exponential form is:

12993 = 3¹ × 61¹ × 71¹

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 12993

List of positive integer factors of 12993 that divides 12993 without a remainder.

1, 3, 61, 71, 183, 213, 4331

Step-4: Factors of 13002

List of positive integer factors of 13002 that divides 12993 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 12993 and 13002. The biggest common factor number is the GCF number.
So the greatest common factor 12993 and 13002 is 3.

Also check out the Least Common Multiple of 12993 and 13002