What is the Greatest Common Factor of 24000 and 24010?

Greatest common factor (GCF) of 24000 and 24010 is 10.

GCF(24000,24010) = 10

We will now calculate the prime factors of 24000 and 24010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24000 and 24010.

How to find the GCF of 24000 and 24010?

We will first find the prime factorization of 24000 and 24010. After we will calculate the factors of 24000 and 24010 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 24010

Prime factors of 24010 are 2, 5, 7. Prime factorization of 24010 in exponential form is:

24010 = 2¹ × 5¹ × 7⁴

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 24010

List of positive integer factors of 24010 that divides 24000 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 2401, 3430, 4802, 12005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24000 and 24010. The biggest common factor number is the GCF number.
So the greatest common factor 24000 and 24010 is 10.

Also check out the Least Common Multiple of 24000 and 24010