What is the Greatest Common Factor of 56575 and 56585?

Greatest common factor (GCF) of 56575 and 56585 is 5.

GCF(56575,56585) = 5

We will now calculate the prime factors of 56575 and 56585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56575 and 56585.

How to find the GCF of 56575 and 56585?

We will first find the prime factorization of 56575 and 56585. After we will calculate the factors of 56575 and 56585 and find the biggest common factor number .

Step-1: Prime Factorization of 56575

Prime factors of 56575 are 5, 31, 73. Prime factorization of 56575 in exponential form is:

56575 = 5² × 31¹ × 73¹

Step-2: Prime Factorization of 56585

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

56585 = 5¹ × 11317¹

Step-3: Factors of 56575

List of positive integer factors of 56575 that divides 56575 without a remainder.

1, 5, 25, 31, 73, 155, 365, 775, 1825, 2263, 11315

Step-4: Factors of 56585

List of positive integer factors of 56585 that divides 56575 without a remainder.

1, 5, 11317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56575 and 56585. The biggest common factor number is the GCF number.
So the greatest common factor 56575 and 56585 is 5.

Also check out the Least Common Multiple of 56575 and 56585