What is the Greatest Common Factor of 56585 and 56600?

Greatest common factor (GCF) of 56585 and 56600 is 5.

GCF(56585,56600) = 5

We will now calculate the prime factors of 56585 and 56600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56585 and 56600.

How to find the GCF of 56585 and 56600?

We will first find the prime factorization of 56585 and 56600. After we will calculate the factors of 56585 and 56600 and find the biggest common factor number .

Step-1: Prime Factorization of 56585

Prime factors of 56585 are 5, 11317. Prime factorization of 56585 in exponential form is:

56585 = 5¹ × 11317¹

Step-2: Prime Factorization of 56600

Prime factors of 56600 are 2, 5, 283. Prime factorization of 56600 in exponential form is:

56600 = 2³ × 5² × 283¹

Step-3: Factors of 56585

List of positive integer factors of 56585 that divides 56585 without a remainder.

1, 5, 11317

Step-4: Factors of 56600

List of positive integer factors of 56600 that divides 56585 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 283, 566, 1132, 1415, 2264, 2830, 5660, 7075, 11320, 14150, 28300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56585 and 56600. The biggest common factor number is the GCF number.
So the greatest common factor 56585 and 56600 is 5.

Also check out the Least Common Multiple of 56585 and 56600