What is the Greatest Common Factor of 18449 and 18468?

Greatest common factor (GCF) of 18449 and 18468 is 19.

GCF(18449,18468) = 19

We will now calculate the prime factors of 18449 and 18468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18449 and 18468.

How to find the GCF of 18449 and 18468?

We will first find the prime factorization of 18449 and 18468. After we will calculate the factors of 18449 and 18468 and find the biggest common factor number .

Step-1: Prime Factorization of 18449

Prime factors of 18449 are 19, 971. Prime factorization of 18449 in exponential form is:

18449 = 19¹ × 971¹

Step-2: 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-3: Factors of 18449

List of positive integer factors of 18449 that divides 18449 without a remainder.

1, 19, 971

Step-4: Factors of 18468

List of positive integer factors of 18468 that divides 18449 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18449 and 18468. The biggest common factor number is the GCF number.
So the greatest common factor 18449 and 18468 is 19.

Also check out the Least Common Multiple of 18449 and 18468