What is the Greatest Common Factor of 18600 and 18615?

Greatest common factor (GCF) of 18600 and 18615 is 15.

GCF(18600,18615) = 15

We will now calculate the prime factors of 18600 and 18615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18600 and 18615.

How to find the GCF of 18600 and 18615?

We will first find the prime factorization of 18600 and 18615. After we will calculate the factors of 18600 and 18615 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18615

Prime factors of 18615 are 3, 5, 17, 73. Prime factorization of 18615 in exponential form is:

18615 = 3¹ × 5¹ × 17¹ × 73¹

Step-3: Factors of 18600

List of positive integer factors of 18600 that divides 18600 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

Step-4: Factors of 18615

List of positive integer factors of 18615 that divides 18600 without a remainder.

1, 3, 5, 15, 17, 51, 73, 85, 219, 255, 365, 1095, 1241, 3723, 6205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18600 and 18615. The biggest common factor number is the GCF number.
So the greatest common factor 18600 and 18615 is 15.

Also check out the Least Common Multiple of 18600 and 18615