What is the Greatest Common Factor of 56000 and 56013?

Greatest common factor (GCF) of 56000 and 56013 is 1.

GCF(56000,56013) = 1

We will now calculate the prime factors of 56000 and 56013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56000 and 56013.

How to find the GCF of 56000 and 56013?

We will first find the prime factorization of 56000 and 56013. After we will calculate the factors of 56000 and 56013 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 56013

Prime factors of 56013 are 3, 18671. Prime factorization of 56013 in exponential form is:

56013 = 3¹ × 18671¹

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 56013

List of positive integer factors of 56013 that divides 56000 without a remainder.

1, 3, 18671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56000 and 56013. The biggest common factor number is the GCF number.
So the greatest common factor 56000 and 56013 is 1.

Also check out the Least Common Multiple of 56000 and 56013