What is the Greatest Common Factor of 6000 and 6008?

Greatest common factor (GCF) of 6000 and 6008 is 8.

GCF(6000,6008) = 8

We will now calculate the prime factors of 6000 and 6008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6000 and 6008.

How to find the GCF of 6000 and 6008?

We will first find the prime factorization of 6000 and 6008. After we will calculate the factors of 6000 and 6008 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 6008

Prime factors of 6008 are 2, 751. Prime factorization of 6008 in exponential form is:

6008 = 2³ × 751¹

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 6008

List of positive integer factors of 6008 that divides 6000 without a remainder.

1, 2, 4, 8, 751, 1502, 3004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6000 and 6008. The biggest common factor number is the GCF number.
So the greatest common factor 6000 and 6008 is 8.

Also check out the Least Common Multiple of 6000 and 6008