What is the Greatest Common Factor of 56000 and 56018?

Greatest common factor (GCF) of 56000 and 56018 is 2.

GCF(56000,56018) = 2

We will now calculate the prime factors of 56000 and 56018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56000 and 56018.

How to find the GCF of 56000 and 56018?

We will first find the prime factorization of 56000 and 56018. After we will calculate the factors of 56000 and 56018 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 56018

Prime factors of 56018 are 2, 37, 757. Prime factorization of 56018 in exponential form is:

56018 = 2¹ × 37¹ × 757¹

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 56018

List of positive integer factors of 56018 that divides 56000 without a remainder.

1, 2, 37, 74, 757, 1514, 28009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56000 and 56018. The biggest common factor number is the GCF number.
So the greatest common factor 56000 and 56018 is 2.

Also check out the Least Common Multiple of 56000 and 56018