What is the Greatest Common Factor of 18592 and 18600?

Greatest common factor (GCF) of 18592 and 18600 is 8.

GCF(18592,18600) = 8

We will now calculate the prime factors of 18592 and 18600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18592 and 18600.

How to find the GCF of 18592 and 18600?

We will first find the prime factorization of 18592 and 18600. After we will calculate the factors of 18592 and 18600 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18600

Prime factors of 18600 are 2, 3, 5, 31. Prime factorization of 18600 in exponential form is:

18600 = 2³ × 3¹ × 5² × 31¹

Step-3: Factors of 18592

List of positive integer factors of 18592 that divides 18592 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

Step-4: Factors of 18600

List of positive integer factors of 18600 that divides 18592 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 31, 40, 50, 60, 62, 75, 93, 100, 120, 124, 150, 155, 186, 200, 248, 300, 310, 372, 465, 600, 620, 744, 775, 930, 1240, 1550, 1860, 2325, 3100, 3720, 4650, 6200, 9300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18592 and 18600. The biggest common factor number is the GCF number.
So the greatest common factor 18592 and 18600 is 8.

Also check out the Least Common Multiple of 18592 and 18600