What is the Greatest Common Factor of 6004 and 6014?

Greatest common factor (GCF) of 6004 and 6014 is 2.

GCF(6004,6014) = 2

We will now calculate the prime factors of 6004 and 6014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6004 and 6014.

How to find the GCF of 6004 and 6014?

We will first find the prime factorization of 6004 and 6014. After we will calculate the factors of 6004 and 6014 and find the biggest common factor number .

Step-1: Prime Factorization of 6004

Prime factors of 6004 are 2, 19, 79. Prime factorization of 6004 in exponential form is:

6004 = 2² × 19¹ × 79¹

Step-2: Prime Factorization of 6014

Prime factors of 6014 are 2, 31, 97. Prime factorization of 6014 in exponential form is:

6014 = 2¹ × 31¹ × 97¹

Step-3: Factors of 6004

List of positive integer factors of 6004 that divides 6004 without a remainder.

1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002

Step-4: Factors of 6014

List of positive integer factors of 6014 that divides 6004 without a remainder.

1, 2, 31, 62, 97, 194, 3007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6004 and 6014. The biggest common factor number is the GCF number.
So the greatest common factor 6004 and 6014 is 2.

Also check out the Least Common Multiple of 6004 and 6014