What is the Greatest Common Factor of 18459 and 18473?

Greatest common factor (GCF) of 18459 and 18473 is 7.

GCF(18459,18473) = 7

We will now calculate the prime factors of 18459 and 18473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18459 and 18473.

How to find the GCF of 18459 and 18473?

We will first find the prime factorization of 18459 and 18473. After we will calculate the factors of 18459 and 18473 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 18473

Prime factors of 18473 are 7, 13, 29. Prime factorization of 18473 in exponential form is:

18473 = 7² × 13¹ × 29¹

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 18473

List of positive integer factors of 18473 that divides 18459 without a remainder.

1, 7, 13, 29, 49, 91, 203, 377, 637, 1421, 2639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18459 and 18473. The biggest common factor number is the GCF number.
So the greatest common factor 18459 and 18473 is 7.

Also check out the Least Common Multiple of 18459 and 18473