What is the Greatest Common Factor of 18473 and 18486?

Greatest common factor (GCF) of 18473 and 18486 is 13.

GCF(18473,18486) = 13

We will now calculate the prime factors of 18473 and 18486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18473 and 18486.

How to find the GCF of 18473 and 18486?

We will first find the prime factorization of 18473 and 18486. After we will calculate the factors of 18473 and 18486 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18486

Prime factors of 18486 are 2, 3, 13, 79. Prime factorization of 18486 in exponential form is:

18486 = 2¹ × 3² × 13¹ × 79¹

Step-3: Factors of 18473

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

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

Step-4: Factors of 18486

List of positive integer factors of 18486 that divides 18473 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 79, 117, 158, 234, 237, 474, 711, 1027, 1422, 2054, 3081, 6162, 9243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18473 and 18486. The biggest common factor number is the GCF number.
So the greatest common factor 18473 and 18486 is 13.

Also check out the Least Common Multiple of 18473 and 18486