What is the Greatest Common Factor of 18334 and 18344?

Greatest common factor (GCF) of 18334 and 18344 is 2.

GCF(18334,18344) = 2

We will now calculate the prime factors of 18334 and 18344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18334 and 18344.

How to find the GCF of 18334 and 18344?

We will first find the prime factorization of 18334 and 18344. After we will calculate the factors of 18334 and 18344 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 18344

Prime factors of 18344 are 2, 2293. Prime factorization of 18344 in exponential form is:

18344 = 2³ × 2293¹

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 18344

List of positive integer factors of 18344 that divides 18334 without a remainder.

1, 2, 4, 8, 2293, 4586, 9172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18334 and 18344. The biggest common factor number is the GCF number.
So the greatest common factor 18334 and 18344 is 2.

Also check out the Least Common Multiple of 18334 and 18344