What is the Greatest Common Factor of 18380 and 18385?

Greatest common factor (GCF) of 18380 and 18385 is 5.

GCF(18380,18385) = 5

We will now calculate the prime factors of 18380 and 18385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18380 and 18385.

How to find the GCF of 18380 and 18385?

We will first find the prime factorization of 18380 and 18385. After we will calculate the factors of 18380 and 18385 and find the biggest common factor number .

Step-1: Prime Factorization of 18380

Prime factors of 18380 are 2, 5, 919. Prime factorization of 18380 in exponential form is:

18380 = 2² × 5¹ × 919¹

Step-2: Prime Factorization of 18385

Prime factors of 18385 are 5, 3677. Prime factorization of 18385 in exponential form is:

18385 = 5¹ × 3677¹

Step-3: Factors of 18380

List of positive integer factors of 18380 that divides 18380 without a remainder.

1, 2, 4, 5, 10, 20, 919, 1838, 3676, 4595, 9190

Step-4: Factors of 18385

List of positive integer factors of 18385 that divides 18380 without a remainder.

1, 5, 3677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18380 and 18385. The biggest common factor number is the GCF number.
So the greatest common factor 18380 and 18385 is 5.

Also check out the Least Common Multiple of 18380 and 18385