What is the Greatest Common Factor of 56000 and 56020?

Greatest common factor (GCF) of 56000 and 56020 is 20.

GCF(56000,56020) = 20

We will now calculate the prime factors of 56000 and 56020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56000 and 56020.

How to find the GCF of 56000 and 56020?

We will first find the prime factorization of 56000 and 56020. After we will calculate the factors of 56000 and 56020 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 56020

Prime factors of 56020 are 2, 5, 2801. Prime factorization of 56020 in exponential form is:

56020 = 2² × 5¹ × 2801¹

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 56020

List of positive integer factors of 56020 that divides 56000 without a remainder.

1, 2, 4, 5, 10, 20, 2801, 5602, 11204, 14005, 28010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56000 and 56020. The biggest common factor number is the GCF number.
So the greatest common factor 56000 and 56020 is 20.

Also check out the Least Common Multiple of 56000 and 56020