What is the Greatest Common Factor of 56000 and 56011?

Greatest common factor (GCF) of 56000 and 56011 is 1.

GCF(56000,56011) = 1

We will now calculate the prime factors of 56000 and 56011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56000 and 56011.

How to find the GCF of 56000 and 56011?

We will first find the prime factorization of 56000 and 56011. After we will calculate the factors of 56000 and 56011 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 56011

Prime factors of 56011 are 79, 709. Prime factorization of 56011 in exponential form is:

56011 = 79¹ × 709¹

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 56011

List of positive integer factors of 56011 that divides 56000 without a remainder.

1, 79, 709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56000 and 56011. The biggest common factor number is the GCF number.
So the greatest common factor 56000 and 56011 is 1.

Also check out the Least Common Multiple of 56000 and 56011