What is the Greatest Common Factor of 18395 and 18408?

Greatest common factor (GCF) of 18395 and 18408 is 13.

GCF(18395,18408) = 13

We will now calculate the prime factors of 18395 and 18408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18395 and 18408.

How to find the GCF of 18395 and 18408?

We will first find the prime factorization of 18395 and 18408. After we will calculate the factors of 18395 and 18408 and find the biggest common factor number .

Step-1: Prime Factorization of 18395

Prime factors of 18395 are 5, 13, 283. Prime factorization of 18395 in exponential form is:

18395 = 5¹ × 13¹ × 283¹

Step-2: Prime Factorization of 18408

Prime factors of 18408 are 2, 3, 13, 59. Prime factorization of 18408 in exponential form is:

18408 = 2³ × 3¹ × 13¹ × 59¹

Step-3: Factors of 18395

List of positive integer factors of 18395 that divides 18395 without a remainder.

1, 5, 13, 65, 283, 1415, 3679

Step-4: Factors of 18408

List of positive integer factors of 18408 that divides 18395 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 59, 78, 104, 118, 156, 177, 236, 312, 354, 472, 708, 767, 1416, 1534, 2301, 3068, 4602, 6136, 9204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18395 and 18408. The biggest common factor number is the GCF number.
So the greatest common factor 18395 and 18408 is 13.

Also check out the Least Common Multiple of 18395 and 18408