What is the Greatest Common Factor of 18575 and 18585?

Greatest common factor (GCF) of 18575 and 18585 is 5.

GCF(18575,18585) = 5

We will now calculate the prime factors of 18575 and 18585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18575 and 18585.

How to find the GCF of 18575 and 18585?

We will first find the prime factorization of 18575 and 18585. After we will calculate the factors of 18575 and 18585 and find the biggest common factor number .

Step-1: Prime Factorization of 18575

Prime factors of 18575 are 5, 743. Prime factorization of 18575 in exponential form is:

18575 = 5² × 743¹

Step-2: Prime Factorization of 18585

Prime factors of 18585 are 3, 5, 7, 59. Prime factorization of 18585 in exponential form is:

18585 = 3² × 5¹ × 7¹ × 59¹

Step-3: Factors of 18575

List of positive integer factors of 18575 that divides 18575 without a remainder.

1, 5, 25, 743, 3715

Step-4: Factors of 18585

List of positive integer factors of 18585 that divides 18575 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 59, 63, 105, 177, 295, 315, 413, 531, 885, 1239, 2065, 2655, 3717, 6195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18575 and 18585. The biggest common factor number is the GCF number.
So the greatest common factor 18575 and 18585 is 5.

Also check out the Least Common Multiple of 18575 and 18585