What is the Greatest Common Factor of 18145 and 18164?

Greatest common factor (GCF) of 18145 and 18164 is 19.

GCF(18145,18164) = 19

We will now calculate the prime factors of 18145 and 18164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18145 and 18164.

How to find the GCF of 18145 and 18164?

We will first find the prime factorization of 18145 and 18164. After we will calculate the factors of 18145 and 18164 and find the biggest common factor number .

Step-1: Prime Factorization of 18145

Prime factors of 18145 are 5, 19, 191. Prime factorization of 18145 in exponential form is:

18145 = 5¹ × 19¹ × 191¹

Step-2: 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-3: Factors of 18145

List of positive integer factors of 18145 that divides 18145 without a remainder.

1, 5, 19, 95, 191, 955, 3629

Step-4: Factors of 18164

List of positive integer factors of 18164 that divides 18145 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18145 and 18164. The biggest common factor number is the GCF number.
So the greatest common factor 18145 and 18164 is 19.

Also check out the Least Common Multiple of 18145 and 18164