What is the Greatest Common Factor of 56000 and 56014?

Greatest common factor (GCF) of 56000 and 56014 is 14.

GCF(56000,56014) = 14

We will now calculate the prime factors of 56000 and 56014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56000 and 56014.

How to find the GCF of 56000 and 56014?

We will first find the prime factorization of 56000 and 56014. After we will calculate the factors of 56000 and 56014 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 56014

Prime factors of 56014 are 2, 7, 4001. Prime factorization of 56014 in exponential form is:

56014 = 2¹ × 7¹ × 4001¹

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 56014

List of positive integer factors of 56014 that divides 56000 without a remainder.

1, 2, 7, 14, 4001, 8002, 28007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56000 and 56014. The biggest common factor number is the GCF number.
So the greatest common factor 56000 and 56014 is 14.

Also check out the Least Common Multiple of 56000 and 56014