What is the Greatest Common Factor of 18300 and 18314?

Greatest common factor (GCF) of 18300 and 18314 is 2.

GCF(18300,18314) = 2

We will now calculate the prime factors of 18300 and 18314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18300 and 18314.

How to find the GCF of 18300 and 18314?

We will first find the prime factorization of 18300 and 18314. After we will calculate the factors of 18300 and 18314 and find the biggest common factor number .

Step-1: Prime Factorization of 18300

Prime factors of 18300 are 2, 3, 5, 61. Prime factorization of 18300 in exponential form is:

18300 = 2² × 3¹ × 5² × 61¹

Step-2: Prime Factorization of 18314

Prime factors of 18314 are 2, 9157. Prime factorization of 18314 in exponential form is:

18314 = 2¹ × 9157¹

Step-3: Factors of 18300

List of positive integer factors of 18300 that divides 18300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 61, 75, 100, 122, 150, 183, 244, 300, 305, 366, 610, 732, 915, 1220, 1525, 1830, 3050, 3660, 4575, 6100, 9150

Step-4: Factors of 18314

List of positive integer factors of 18314 that divides 18300 without a remainder.

1, 2, 9157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18300 and 18314. The biggest common factor number is the GCF number.
So the greatest common factor 18300 and 18314 is 2.

Also check out the Least Common Multiple of 18300 and 18314