What is the Greatest Common Factor of 18468 and 18474?

Greatest common factor (GCF) of 18468 and 18474 is 6.

GCF(18468,18474) = 6

We will now calculate the prime factors of 18468 and 18474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18468 and 18474.

How to find the GCF of 18468 and 18474?

We will first find the prime factorization of 18468 and 18474. After we will calculate the factors of 18468 and 18474 and find the biggest common factor number .

Step-1: Prime Factorization of 18468

Prime factors of 18468 are 2, 3, 19. Prime factorization of 18468 in exponential form is:

18468 = 2² × 3⁵ × 19¹

Step-2: Prime Factorization of 18474

Prime factors of 18474 are 2, 3, 3079. Prime factorization of 18474 in exponential form is:

18474 = 2¹ × 3¹ × 3079¹

Step-3: Factors of 18468

List of positive integer factors of 18468 that divides 18468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 243, 324, 342, 486, 513, 684, 972, 1026, 1539, 2052, 3078, 4617, 6156, 9234

Step-4: Factors of 18474

List of positive integer factors of 18474 that divides 18468 without a remainder.

1, 2, 3, 6, 3079, 6158, 9237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18468 and 18474. The biggest common factor number is the GCF number.
So the greatest common factor 18468 and 18474 is 6.

Also check out the Least Common Multiple of 18468 and 18474