What is the Greatest Common Factor of 18354 and 18368?

Greatest common factor (GCF) of 18354 and 18368 is 14.

GCF(18354,18368) = 14

We will now calculate the prime factors of 18354 and 18368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18354 and 18368.

How to find the GCF of 18354 and 18368?

We will first find the prime factorization of 18354 and 18368. After we will calculate the factors of 18354 and 18368 and find the biggest common factor number .

Step-1: Prime Factorization of 18354

Prime factors of 18354 are 2, 3, 7, 19, 23. Prime factorization of 18354 in exponential form is:

18354 = 2¹ × 3¹ × 7¹ × 19¹ × 23¹

Step-2: Prime Factorization of 18368

Prime factors of 18368 are 2, 7, 41. Prime factorization of 18368 in exponential form is:

18368 = 2⁶ × 7¹ × 41¹

Step-3: Factors of 18354

List of positive integer factors of 18354 that divides 18354 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 23, 38, 42, 46, 57, 69, 114, 133, 138, 161, 266, 322, 399, 437, 483, 798, 874, 966, 1311, 2622, 3059, 6118, 9177

Step-4: Factors of 18368

List of positive integer factors of 18368 that divides 18354 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 64, 82, 112, 164, 224, 287, 328, 448, 574, 656, 1148, 1312, 2296, 2624, 4592, 9184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18354 and 18368. The biggest common factor number is the GCF number.
So the greatest common factor 18354 and 18368 is 14.

Also check out the Least Common Multiple of 18354 and 18368