What is the Greatest Common Factor of 18345 and 18355?

Greatest common factor (GCF) of 18345 and 18355 is 5.

GCF(18345,18355) = 5

We will now calculate the prime factors of 18345 and 18355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18345 and 18355.

How to find the GCF of 18345 and 18355?

We will first find the prime factorization of 18345 and 18355. After we will calculate the factors of 18345 and 18355 and find the biggest common factor number .

Step-1: Prime Factorization of 18345

Prime factors of 18345 are 3, 5, 1223. Prime factorization of 18345 in exponential form is:

18345 = 3¹ × 5¹ × 1223¹

Step-2: Prime Factorization of 18355

Prime factors of 18355 are 5, 3671. Prime factorization of 18355 in exponential form is:

18355 = 5¹ × 3671¹

Step-3: Factors of 18345

List of positive integer factors of 18345 that divides 18345 without a remainder.

1, 3, 5, 15, 1223, 3669, 6115

Step-4: Factors of 18355

List of positive integer factors of 18355 that divides 18345 without a remainder.

1, 5, 3671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18345 and 18355. The biggest common factor number is the GCF number.
So the greatest common factor 18345 and 18355 is 5.

Also check out the Least Common Multiple of 18345 and 18355