What is the Greatest Common Factor of 18459 and 18463?

Greatest common factor (GCF) of 18459 and 18463 is 1.

GCF(18459,18463) = 1

We will now calculate the prime factors of 18459 and 18463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18459 and 18463.

How to find the GCF of 18459 and 18463?

We will first find the prime factorization of 18459 and 18463. After we will calculate the factors of 18459 and 18463 and find the biggest common factor number .

Step-1: Prime Factorization of 18459

Prime factors of 18459 are 3, 7, 293. Prime factorization of 18459 in exponential form is:

18459 = 3² × 7¹ × 293¹

Step-2: Prime Factorization of 18463

Prime factors of 18463 are 37, 499. Prime factorization of 18463 in exponential form is:

18463 = 37¹ × 499¹

Step-3: Factors of 18459

List of positive integer factors of 18459 that divides 18459 without a remainder.

1, 3, 7, 9, 21, 63, 293, 879, 2051, 2637, 6153

Step-4: Factors of 18463

List of positive integer factors of 18463 that divides 18459 without a remainder.

1, 37, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18459 and 18463. The biggest common factor number is the GCF number.
So the greatest common factor 18459 and 18463 is 1.

Also check out the Least Common Multiple of 18459 and 18463