What is the Greatest Common Factor of 48000 and 48017?

Greatest common factor (GCF) of 48000 and 48017 is 1.

GCF(48000,48017) = 1

We will now calculate the prime factors of 48000 and 48017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48000 and 48017.

How to find the GCF of 48000 and 48017?

We will first find the prime factorization of 48000 and 48017. After we will calculate the factors of 48000 and 48017 and find the biggest common factor number .

Step-1: Prime Factorization of 48000

Prime factors of 48000 are 2, 3, 5. Prime factorization of 48000 in exponential form is:

48000 = 2⁷ × 3¹ × 5³

Step-2: Prime Factorization of 48017

Prime factors of 48017 are 48017. Prime factorization of 48017 in exponential form is:

48017 = 48017¹

Step-3: Factors of 48000

List of positive integer factors of 48000 that divides 48000 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, 128, 150, 160, 192, 200, 240, 250, 300, 320, 375, 384, 400, 480, 500, 600, 640, 750, 800, 960, 1000, 1200, 1500, 1600, 1920, 2000, 2400, 3000, 3200, 4000, 4800, 6000, 8000, 9600, 12000, 16000, 24000

Step-4: Factors of 48017

List of positive integer factors of 48017 that divides 48000 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48000 and 48017. The biggest common factor number is the GCF number.
So the greatest common factor 48000 and 48017 is 1.

Also check out the Least Common Multiple of 48000 and 48017