What is the Greatest Common Factor of 18600 and 18617?

Greatest common factor (GCF) of 18600 and 18617 is 1.

GCF(18600,18617) = 1

We will now calculate the prime factors of 18600 and 18617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18600 and 18617.

How to find the GCF of 18600 and 18617?

We will first find the prime factorization of 18600 and 18617. After we will calculate the factors of 18600 and 18617 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 18617

Prime factors of 18617 are 18617. Prime factorization of 18617 in exponential form is:

18617 = 18617¹

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 18617

List of positive integer factors of 18617 that divides 18600 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18600 and 18617. The biggest common factor number is the GCF number.
So the greatest common factor 18600 and 18617 is 1.

Also check out the Least Common Multiple of 18600 and 18617