What is the Greatest Common Factor of 56000 and 56010?

Greatest common factor (GCF) of 56000 and 56010 is 10.

GCF(56000,56010) = 10

We will now calculate the prime factors of 56000 and 56010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56000 and 56010.

How to find the GCF of 56000 and 56010?

We will first find the prime factorization of 56000 and 56010. After we will calculate the factors of 56000 and 56010 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 56010

Prime factors of 56010 are 2, 3, 5, 1867. Prime factorization of 56010 in exponential form is:

56010 = 2¹ × 3¹ × 5¹ × 1867¹

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 56010

List of positive integer factors of 56010 that divides 56000 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1867, 3734, 5601, 9335, 11202, 18670, 28005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56000 and 56010. The biggest common factor number is the GCF number.
So the greatest common factor 56000 and 56010 is 10.

Also check out the Least Common Multiple of 56000 and 56010