What is the Greatest Common Factor of 6006 and 6019?

Greatest common factor (GCF) of 6006 and 6019 is 13.

GCF(6006,6019) = 13

We will now calculate the prime factors of 6006 and 6019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6006 and 6019.

How to find the GCF of 6006 and 6019?

We will first find the prime factorization of 6006 and 6019. After we will calculate the factors of 6006 and 6019 and find the biggest common factor number .

Step-1: Prime Factorization of 6006

Prime factors of 6006 are 2, 3, 7, 11, 13. Prime factorization of 6006 in exponential form is:

6006 = 2¹ × 3¹ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 6019

Prime factors of 6019 are 13, 463. Prime factorization of 6019 in exponential form is:

6019 = 13¹ × 463¹

Step-3: Factors of 6006

List of positive integer factors of 6006 that divides 6006 without a remainder.

1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 182, 231, 273, 286, 429, 462, 546, 858, 1001, 2002, 3003

Step-4: Factors of 6019

List of positive integer factors of 6019 that divides 6006 without a remainder.

1, 13, 463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6006 and 6019. The biggest common factor number is the GCF number.
So the greatest common factor 6006 and 6019 is 13.

Also check out the Least Common Multiple of 6006 and 6019