What is the Greatest Common Factor of 18389 and 18408?

Greatest common factor (GCF) of 18389 and 18408 is 1.

GCF(18389,18408) = 1

We will now calculate the prime factors of 18389 and 18408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18389 and 18408.

How to find the GCF of 18389 and 18408?

We will first find the prime factorization of 18389 and 18408. After we will calculate the factors of 18389 and 18408 and find the biggest common factor number .

Step-1: Prime Factorization of 18389

Prime factors of 18389 are 7, 37, 71. Prime factorization of 18389 in exponential form is:

18389 = 7¹ × 37¹ × 71¹

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 18389

List of positive integer factors of 18389 that divides 18389 without a remainder.

1, 7, 37, 71, 259, 497, 2627

Step-4: Factors of 18408

List of positive integer factors of 18408 that divides 18389 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 18389 and 18408. The biggest common factor number is the GCF number.
So the greatest common factor 18389 and 18408 is 1.

Also check out the Least Common Multiple of 18389 and 18408