What is the Greatest Common Factor of 18348 and 18354?

Greatest common factor (GCF) of 18348 and 18354 is 6.

GCF(18348,18354) = 6

We will now calculate the prime factors of 18348 and 18354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18348 and 18354.

How to find the GCF of 18348 and 18354?

We will first find the prime factorization of 18348 and 18354. After we will calculate the factors of 18348 and 18354 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 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-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 18354

List of positive integer factors of 18354 that divides 18348 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18348 and 18354. The biggest common factor number is the GCF number.
So the greatest common factor 18348 and 18354 is 6.

Also check out the Least Common Multiple of 18348 and 18354