What is the Greatest Common Factor of 56000 and 56006?

Greatest common factor (GCF) of 56000 and 56006 is 2.

GCF(56000,56006) = 2

We will now calculate the prime factors of 56000 and 56006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56000 and 56006.

How to find the GCF of 56000 and 56006?

We will first find the prime factorization of 56000 and 56006. After we will calculate the factors of 56000 and 56006 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 56006

Prime factors of 56006 are 2, 41, 683. Prime factorization of 56006 in exponential form is:

56006 = 2¹ × 41¹ × 683¹

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 56006

List of positive integer factors of 56006 that divides 56000 without a remainder.

1, 2, 41, 82, 683, 1366, 28003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56000 and 56006. The biggest common factor number is the GCF number.
So the greatest common factor 56000 and 56006 is 2.

Also check out the Least Common Multiple of 56000 and 56006