What is the Greatest Common Factor of 18316 and 18335?

Greatest common factor (GCF) of 18316 and 18335 is 19.

GCF(18316,18335) = 19

We will now calculate the prime factors of 18316 and 18335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18316 and 18335.

How to find the GCF of 18316 and 18335?

We will first find the prime factorization of 18316 and 18335. After we will calculate the factors of 18316 and 18335 and find the biggest common factor number .

Step-1: Prime Factorization of 18316

Prime factors of 18316 are 2, 19, 241. Prime factorization of 18316 in exponential form is:

18316 = 2² × 19¹ × 241¹

Step-2: Prime Factorization of 18335

Prime factors of 18335 are 5, 19, 193. Prime factorization of 18335 in exponential form is:

18335 = 5¹ × 19¹ × 193¹

Step-3: Factors of 18316

List of positive integer factors of 18316 that divides 18316 without a remainder.

1, 2, 4, 19, 38, 76, 241, 482, 964, 4579, 9158

Step-4: Factors of 18335

List of positive integer factors of 18335 that divides 18316 without a remainder.

1, 5, 19, 95, 193, 965, 3667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18316 and 18335. The biggest common factor number is the GCF number.
So the greatest common factor 18316 and 18335 is 19.

Also check out the Least Common Multiple of 18316 and 18335