What is the Greatest Common Factor of 18585 and 18592?

Greatest common factor (GCF) of 18585 and 18592 is 7.

GCF(18585,18592) = 7

We will now calculate the prime factors of 18585 and 18592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18585 and 18592.

How to find the GCF of 18585 and 18592?

We will first find the prime factorization of 18585 and 18592. After we will calculate the factors of 18585 and 18592 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18592

Prime factors of 18592 are 2, 7, 83. Prime factorization of 18592 in exponential form is:

18592 = 2⁵ × 7¹ × 83¹

Step-3: Factors of 18585

List of positive integer factors of 18585 that divides 18585 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

Step-4: Factors of 18592

List of positive integer factors of 18592 that divides 18585 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 83, 112, 166, 224, 332, 581, 664, 1162, 1328, 2324, 2656, 4648, 9296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18585 and 18592. The biggest common factor number is the GCF number.
So the greatest common factor 18585 and 18592 is 7.

Also check out the Least Common Multiple of 18585 and 18592