What is the Greatest Common Factor of 6000 and 6004?

Greatest common factor (GCF) of 6000 and 6004 is 4.

GCF(6000,6004) = 4

We will now calculate the prime factors of 6000 and 6004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6000 and 6004.

How to find the GCF of 6000 and 6004?

We will first find the prime factorization of 6000 and 6004. After we will calculate the factors of 6000 and 6004 and find the biggest common factor number .

Step-1: Prime Factorization of 6000

Prime factors of 6000 are 2, 3, 5. Prime factorization of 6000 in exponential form is:

6000 = 2⁴ × 3¹ × 5³

Step-2: 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-3: Factors of 6000

List of positive integer factors of 6000 that divides 6000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000

Step-4: Factors of 6004

List of positive integer factors of 6004 that divides 6000 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6000 and 6004. The biggest common factor number is the GCF number.
So the greatest common factor 6000 and 6004 is 4.

Also check out the Least Common Multiple of 6000 and 6004