What is the Greatest Common Factor of 18334 and 18341?

Greatest common factor (GCF) of 18334 and 18341 is 1.

GCF(18334,18341) = 1

We will now calculate the prime factors of 18334 and 18341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18334 and 18341.

How to find the GCF of 18334 and 18341?

We will first find the prime factorization of 18334 and 18341. After we will calculate the factors of 18334 and 18341 and find the biggest common factor number .

Step-1: Prime Factorization of 18334

Prime factors of 18334 are 2, 89, 103. Prime factorization of 18334 in exponential form is:

18334 = 2¹ × 89¹ × 103¹

Step-2: Prime Factorization of 18341

Prime factors of 18341 are 18341. Prime factorization of 18341 in exponential form is:

18341 = 18341¹

Step-3: Factors of 18334

List of positive integer factors of 18334 that divides 18334 without a remainder.

1, 2, 89, 103, 178, 206, 9167

Step-4: Factors of 18341

List of positive integer factors of 18341 that divides 18334 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18334 and 18341. The biggest common factor number is the GCF number.
So the greatest common factor 18334 and 18341 is 1.

Also check out the Least Common Multiple of 18334 and 18341