What is the Greatest Common Factor of 56000 and 56007?

Greatest common factor (GCF) of 56000 and 56007 is 7.

GCF(56000,56007) = 7

We will now calculate the prime factors of 56000 and 56007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56000 and 56007.

How to find the GCF of 56000 and 56007?

We will first find the prime factorization of 56000 and 56007. After we will calculate the factors of 56000 and 56007 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 56007

Prime factors of 56007 are 3, 7, 127. Prime factorization of 56007 in exponential form is:

56007 = 3² × 7² × 127¹

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 56007

List of positive integer factors of 56007 that divides 56000 without a remainder.

1, 3, 7, 9, 21, 49, 63, 127, 147, 381, 441, 889, 1143, 2667, 6223, 8001, 18669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56000 and 56007. The biggest common factor number is the GCF number.
So the greatest common factor 56000 and 56007 is 7.

Also check out the Least Common Multiple of 56000 and 56007