What is the Greatest Common Factor of 24000 and 24006?

Greatest common factor (GCF) of 24000 and 24006 is 6.

GCF(24000,24006) = 6

We will now calculate the prime factors of 24000 and 24006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24000 and 24006.

How to find the GCF of 24000 and 24006?

We will first find the prime factorization of 24000 and 24006. After we will calculate the factors of 24000 and 24006 and find the biggest common factor number .

Step-1: Prime Factorization of 24000

Prime factors of 24000 are 2, 3, 5. Prime factorization of 24000 in exponential form is:

24000 = 2⁶ × 3¹ × 5³

Step-2: Prime Factorization of 24006

Prime factors of 24006 are 2, 3, 4001. Prime factorization of 24006 in exponential form is:

24006 = 2¹ × 3¹ × 4001¹

Step-3: Factors of 24000

List of positive integer factors of 24000 that divides 24000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 125, 150, 160, 192, 200, 240, 250, 300, 320, 375, 400, 480, 500, 600, 750, 800, 960, 1000, 1200, 1500, 1600, 2000, 2400, 3000, 4000, 4800, 6000, 8000, 12000

Step-4: Factors of 24006

List of positive integer factors of 24006 that divides 24000 without a remainder.

1, 2, 3, 6, 4001, 8002, 12003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24000 and 24006. The biggest common factor number is the GCF number.
So the greatest common factor 24000 and 24006 is 6.

Also check out the Least Common Multiple of 24000 and 24006