What is the Greatest Common Factor of 18491 and 18497?

Greatest common factor (GCF) of 18491 and 18497 is 1.

GCF(18491,18497) = 1

We will now calculate the prime factors of 18491 and 18497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18491 and 18497.

How to find the GCF of 18491 and 18497?

We will first find the prime factorization of 18491 and 18497. After we will calculate the factors of 18491 and 18497 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 18497

Prime factors of 18497 are 53, 349. Prime factorization of 18497 in exponential form is:

18497 = 53¹ × 349¹

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 18497

List of positive integer factors of 18497 that divides 18491 without a remainder.

1, 53, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18491 and 18497. The biggest common factor number is the GCF number.
So the greatest common factor 18491 and 18497 is 1.

Also check out the Least Common Multiple of 18491 and 18497