What is the Greatest Common Factor of 6001 and 6018?

Greatest common factor (GCF) of 6001 and 6018 is 17.

GCF(6001,6018) = 17

We will now calculate the prime factors of 6001 and 6018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6001 and 6018.

How to find the GCF of 6001 and 6018?

We will first find the prime factorization of 6001 and 6018. After we will calculate the factors of 6001 and 6018 and find the biggest common factor number .

Step-1: Prime Factorization of 6001

Prime factors of 6001 are 17, 353. Prime factorization of 6001 in exponential form is:

6001 = 17¹ × 353¹

Step-2: Prime Factorization of 6018

Prime factors of 6018 are 2, 3, 17, 59. Prime factorization of 6018 in exponential form is:

6018 = 2¹ × 3¹ × 17¹ × 59¹

Step-3: Factors of 6001

List of positive integer factors of 6001 that divides 6001 without a remainder.

1, 17, 353

Step-4: Factors of 6018

List of positive integer factors of 6018 that divides 6001 without a remainder.

1, 2, 3, 6, 17, 34, 51, 59, 102, 118, 177, 354, 1003, 2006, 3009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6001 and 6018. The biggest common factor number is the GCF number.
So the greatest common factor 6001 and 6018 is 17.

Also check out the Least Common Multiple of 6001 and 6018