What is the Greatest Common Factor of 18348 and 18360?

Greatest common factor (GCF) of 18348 and 18360 is 12.

GCF(18348,18360) = 12

We will now calculate the prime factors of 18348 and 18360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18348 and 18360.

How to find the GCF of 18348 and 18360?

We will first find the prime factorization of 18348 and 18360. After we will calculate the factors of 18348 and 18360 and find the biggest common factor number .

Step-1: Prime Factorization of 18348

Prime factors of 18348 are 2, 3, 11, 139. Prime factorization of 18348 in exponential form is:

18348 = 2² × 3¹ × 11¹ × 139¹

Step-2: Prime Factorization of 18360

Prime factors of 18360 are 2, 3, 5, 17. Prime factorization of 18360 in exponential form is:

18360 = 2³ × 3³ × 5¹ × 17¹

Step-3: Factors of 18348

List of positive integer factors of 18348 that divides 18348 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 139, 278, 417, 556, 834, 1529, 1668, 3058, 4587, 6116, 9174

Step-4: Factors of 18360

List of positive integer factors of 18360 that divides 18348 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 27, 30, 34, 36, 40, 45, 51, 54, 60, 68, 72, 85, 90, 102, 108, 120, 135, 136, 153, 170, 180, 204, 216, 255, 270, 306, 340, 360, 408, 459, 510, 540, 612, 680, 765, 918, 1020, 1080, 1224, 1530, 1836, 2040, 2295, 3060, 3672, 4590, 6120, 9180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18348 and 18360. The biggest common factor number is the GCF number.
So the greatest common factor 18348 and 18360 is 12.

Also check out the Least Common Multiple of 18348 and 18360