What is the Greatest Common Factor of 56000 and 56015?

Greatest common factor (GCF) of 56000 and 56015 is 5.

GCF(56000,56015) = 5

We will now calculate the prime factors of 56000 and 56015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56000 and 56015.

How to find the GCF of 56000 and 56015?

We will first find the prime factorization of 56000 and 56015. After we will calculate the factors of 56000 and 56015 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 56015

Prime factors of 56015 are 5, 17, 659. Prime factorization of 56015 in exponential form is:

56015 = 5¹ × 17¹ × 659¹

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 56015

List of positive integer factors of 56015 that divides 56000 without a remainder.

1, 5, 17, 85, 659, 3295, 11203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56000 and 56015. The biggest common factor number is the GCF number.
So the greatest common factor 56000 and 56015 is 5.

Also check out the Least Common Multiple of 56000 and 56015