What is the Greatest Common Factor of 24000 and 24017?

Greatest common factor (GCF) of 24000 and 24017 is 1.

GCF(24000,24017) = 1

We will now calculate the prime factors of 24000 and 24017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24000 and 24017.

How to find the GCF of 24000 and 24017?

We will first find the prime factorization of 24000 and 24017. After we will calculate the factors of 24000 and 24017 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 24017

Prime factors of 24017 are 7, 47, 73. Prime factorization of 24017 in exponential form is:

24017 = 7¹ × 47¹ × 73¹

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 24017

List of positive integer factors of 24017 that divides 24000 without a remainder.

1, 7, 47, 73, 329, 511, 3431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24000 and 24017. The biggest common factor number is the GCF number.
So the greatest common factor 24000 and 24017 is 1.

Also check out the Least Common Multiple of 24000 and 24017