What is the Greatest Common Factor of 24000 and 24014?

Greatest common factor (GCF) of 24000 and 24014 is 2.

GCF(24000,24014) = 2

We will now calculate the prime factors of 24000 and 24014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24000 and 24014.

How to find the GCF of 24000 and 24014?

We will first find the prime factorization of 24000 and 24014. After we will calculate the factors of 24000 and 24014 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 24014

Prime factors of 24014 are 2, 12007. Prime factorization of 24014 in exponential form is:

24014 = 2¹ × 12007¹

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 24014

List of positive integer factors of 24014 that divides 24000 without a remainder.

1, 2, 12007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24000 and 24014. The biggest common factor number is the GCF number.
So the greatest common factor 24000 and 24014 is 2.

Also check out the Least Common Multiple of 24000 and 24014