What is the Greatest Common Factor of 56000 and 56017?

Greatest common factor (GCF) of 56000 and 56017 is 1.

GCF(56000,56017) = 1

We will now calculate the prime factors of 56000 and 56017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56000 and 56017.

How to find the GCF of 56000 and 56017?

We will first find the prime factorization of 56000 and 56017. After we will calculate the factors of 56000 and 56017 and find the biggest common factor number .

Step-1: Prime Factorization of 56000

Prime factors of 56000 are 2, 5, 7. Prime factorization of 56000 in exponential form is:

56000 = 2⁶ × 5³ × 7¹

Step-2: Prime Factorization of 56017

Prime factors of 56017 are 13, 31, 139. Prime factorization of 56017 in exponential form is:

56017 = 13¹ × 31¹ × 139¹

Step-3: Factors of 56000

List of positive integer factors of 56000 that divides 56000 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 64, 70, 80, 100, 112, 125, 140, 160, 175, 200, 224, 250, 280, 320, 350, 400, 448, 500, 560, 700, 800, 875, 1000, 1120, 1400, 1600, 1750, 2000, 2240, 2800, 3500, 4000, 5600, 7000, 8000, 11200, 14000, 28000

Step-4: Factors of 56017

List of positive integer factors of 56017 that divides 56000 without a remainder.

1, 13, 31, 139, 403, 1807, 4309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56000 and 56017. The biggest common factor number is the GCF number.
So the greatest common factor 56000 and 56017 is 1.

Also check out the Least Common Multiple of 56000 and 56017