What is the Greatest Common Factor of 18491 and 18509?

Greatest common factor (GCF) of 18491 and 18509 is 1.

GCF(18491,18509) = 1

We will now calculate the prime factors of 18491 and 18509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18491 and 18509.

How to find the GCF of 18491 and 18509?

We will first find the prime factorization of 18491 and 18509. After we will calculate the factors of 18491 and 18509 and find the biggest common factor number .

Step-1: Prime Factorization of 18491

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

18491 = 11¹ × 41²

Step-2: Prime Factorization of 18509

Prime factors of 18509 are 83, 223. Prime factorization of 18509 in exponential form is:

18509 = 83¹ × 223¹

Step-3: Factors of 18491

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

1, 11, 41, 451, 1681

Step-4: Factors of 18509

List of positive integer factors of 18509 that divides 18491 without a remainder.

1, 83, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18491 and 18509. The biggest common factor number is the GCF number.
So the greatest common factor 18491 and 18509 is 1.

Also check out the Least Common Multiple of 18491 and 18509