What is the Greatest Common Factor of 56000 and 56016?

Greatest common factor (GCF) of 56000 and 56016 is 16.

GCF(56000,56016) = 16

We will now calculate the prime factors of 56000 and 56016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56000 and 56016.

How to find the GCF of 56000 and 56016?

We will first find the prime factorization of 56000 and 56016. After we will calculate the factors of 56000 and 56016 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 56016

Prime factors of 56016 are 2, 3, 389. Prime factorization of 56016 in exponential form is:

56016 = 2⁴ × 3² × 389¹

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 56016

List of positive integer factors of 56016 that divides 56000 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 389, 778, 1167, 1556, 2334, 3112, 3501, 4668, 6224, 7002, 9336, 14004, 18672, 28008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56000 and 56016. The biggest common factor number is the GCF number.
So the greatest common factor 56000 and 56016 is 16.

Also check out the Least Common Multiple of 56000 and 56016