What is the Greatest Common Factor of 18473 and 18491?

Greatest common factor (GCF) of 18473 and 18491 is 1.

GCF(18473,18491) = 1

We will now calculate the prime factors of 18473 and 18491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18473 and 18491.

How to find the GCF of 18473 and 18491?

We will first find the prime factorization of 18473 and 18491. After we will calculate the factors of 18473 and 18491 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 18491

Prime factors of 18491 are 11, 41. Prime factorization of 18491 in exponential form is:

18491 = 11¹ × 41²

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 18491

List of positive integer factors of 18491 that divides 18473 without a remainder.

1, 11, 41, 451, 1681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18473 and 18491. The biggest common factor number is the GCF number.
So the greatest common factor 18473 and 18491 is 1.

Also check out the Least Common Multiple of 18473 and 18491