What is the Greatest Common Factor of 18349 and 18354?

Greatest common factor (GCF) of 18349 and 18354 is 1.

GCF(18349,18354) = 1

We will now calculate the prime factors of 18349 and 18354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18349 and 18354.

How to find the GCF of 18349 and 18354?

We will first find the prime factorization of 18349 and 18354. After we will calculate the factors of 18349 and 18354 and find the biggest common factor number .

Step-1: Prime Factorization of 18349

Prime factors of 18349 are 59, 311. Prime factorization of 18349 in exponential form is:

18349 = 59¹ × 311¹

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 18349

List of positive integer factors of 18349 that divides 18349 without a remainder.

1, 59, 311

Step-4: Factors of 18354

List of positive integer factors of 18354 that divides 18349 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 18349 and 18354. The biggest common factor number is the GCF number.
So the greatest common factor 18349 and 18354 is 1.

Also check out the Least Common Multiple of 18349 and 18354