What is the Greatest Common Factor of 18164 and 18183?

Greatest common factor (GCF) of 18164 and 18183 is 19.

GCF(18164,18183) = 19

We will now calculate the prime factors of 18164 and 18183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18164 and 18183.

How to find the GCF of 18164 and 18183?

We will first find the prime factorization of 18164 and 18183. After we will calculate the factors of 18164 and 18183 and find the biggest common factor number .

Step-1: Prime Factorization of 18164

Prime factors of 18164 are 2, 19, 239. Prime factorization of 18164 in exponential form is:

18164 = 2² × 19¹ × 239¹

Step-2: Prime Factorization of 18183

Prime factors of 18183 are 3, 11, 19, 29. Prime factorization of 18183 in exponential form is:

18183 = 3¹ × 11¹ × 19¹ × 29¹

Step-3: Factors of 18164

List of positive integer factors of 18164 that divides 18164 without a remainder.

1, 2, 4, 19, 38, 76, 239, 478, 956, 4541, 9082

Step-4: Factors of 18183

List of positive integer factors of 18183 that divides 18164 without a remainder.

1, 3, 11, 19, 29, 33, 57, 87, 209, 319, 551, 627, 957, 1653, 6061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18164 and 18183. The biggest common factor number is the GCF number.
So the greatest common factor 18164 and 18183 is 19.

Also check out the Least Common Multiple of 18164 and 18183