What is the Greatest Common Factor of 56000 and 56012?

Greatest common factor (GCF) of 56000 and 56012 is 4.

GCF(56000,56012) = 4

We will now calculate the prime factors of 56000 and 56012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56000 and 56012.

How to find the GCF of 56000 and 56012?

We will first find the prime factorization of 56000 and 56012. After we will calculate the factors of 56000 and 56012 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 56012

Prime factors of 56012 are 2, 11, 19, 67. Prime factorization of 56012 in exponential form is:

56012 = 2² × 11¹ × 19¹ × 67¹

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 56012

List of positive integer factors of 56012 that divides 56000 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 67, 76, 134, 209, 268, 418, 737, 836, 1273, 1474, 2546, 2948, 5092, 14003, 28006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56000 and 56012. The biggest common factor number is the GCF number.
So the greatest common factor 56000 and 56012 is 4.

Also check out the Least Common Multiple of 56000 and 56012