What is the Greatest Common Factor of 18373 and 18392?

Greatest common factor (GCF) of 18373 and 18392 is 19.

GCF(18373,18392) = 19

We will now calculate the prime factors of 18373 and 18392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18373 and 18392.

How to find the GCF of 18373 and 18392?

We will first find the prime factorization of 18373 and 18392. After we will calculate the factors of 18373 and 18392 and find the biggest common factor number .

Step-1: Prime Factorization of 18373

Prime factors of 18373 are 19, 967. Prime factorization of 18373 in exponential form is:

18373 = 19¹ × 967¹

Step-2: Prime Factorization of 18392

Prime factors of 18392 are 2, 11, 19. Prime factorization of 18392 in exponential form is:

18392 = 2³ × 11² × 19¹

Step-3: Factors of 18373

List of positive integer factors of 18373 that divides 18373 without a remainder.

1, 19, 967

Step-4: Factors of 18392

List of positive integer factors of 18392 that divides 18373 without a remainder.

1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 121, 152, 209, 242, 418, 484, 836, 968, 1672, 2299, 4598, 9196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18373 and 18392. The biggest common factor number is the GCF number.
So the greatest common factor 18373 and 18392 is 19.

Also check out the Least Common Multiple of 18373 and 18392