What is the Greatest Common Factor of 54000 and 54017?

Greatest common factor (GCF) of 54000 and 54017 is 1.

GCF(54000,54017) = 1

We will now calculate the prime factors of 54000 and 54017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54000 and 54017.

How to find the GCF of 54000 and 54017?

We will first find the prime factorization of 54000 and 54017. After we will calculate the factors of 54000 and 54017 and find the biggest common factor number .

Step-1: Prime Factorization of 54000

Prime factors of 54000 are 2, 3, 5. Prime factorization of 54000 in exponential form is:

54000 = 2⁴ × 3³ × 5³

Step-2: Prime Factorization of 54017

Prime factors of 54017 are 19, 2843. Prime factorization of 54017 in exponential form is:

54017 = 19¹ × 2843¹

Step-3: Factors of 54000

List of positive integer factors of 54000 that divides 54000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 36, 40, 45, 48, 50, 54, 60, 72, 75, 80, 90, 100, 108, 120, 125, 135, 144, 150, 180, 200, 216, 225, 240, 250, 270, 300, 360, 375, 400, 432, 450, 500, 540, 600, 675, 720, 750, 900, 1000, 1080, 1125, 1200, 1350, 1500, 1800, 2000, 2160, 2250, 2700, 3000, 3375, 3600, 4500, 5400, 6000, 6750, 9000, 10800, 13500, 18000, 27000

Step-4: Factors of 54017

List of positive integer factors of 54017 that divides 54000 without a remainder.

1, 19, 2843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54000 and 54017. The biggest common factor number is the GCF number.
So the greatest common factor 54000 and 54017 is 1.

Also check out the Least Common Multiple of 54000 and 54017