What is the Greatest Common Factor of 18324 and 18334?

Greatest common factor (GCF) of 18324 and 18334 is 2.

GCF(18324,18334) = 2

We will now calculate the prime factors of 18324 and 18334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18324 and 18334.

How to find the GCF of 18324 and 18334?

We will first find the prime factorization of 18324 and 18334. After we will calculate the factors of 18324 and 18334 and find the biggest common factor number .

Step-1: Prime Factorization of 18324

Prime factors of 18324 are 2, 3, 509. Prime factorization of 18324 in exponential form is:

18324 = 2² × 3² × 509¹

Step-2: 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-3: Factors of 18324

List of positive integer factors of 18324 that divides 18324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 509, 1018, 1527, 2036, 3054, 4581, 6108, 9162

Step-4: Factors of 18334

List of positive integer factors of 18334 that divides 18324 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18324 and 18334. The biggest common factor number is the GCF number.
So the greatest common factor 18324 and 18334 is 2.

Also check out the Least Common Multiple of 18324 and 18334