What is the Greatest Common Factor of 18449 and 18458?

Greatest common factor (GCF) of 18449 and 18458 is 1.

GCF(18449,18458) = 1

We will now calculate the prime factors of 18449 and 18458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18449 and 18458.

How to find the GCF of 18449 and 18458?

We will first find the prime factorization of 18449 and 18458. After we will calculate the factors of 18449 and 18458 and find the biggest common factor number .

Step-1: Prime Factorization of 18449

Prime factors of 18449 are 19, 971. Prime factorization of 18449 in exponential form is:

18449 = 19¹ × 971¹

Step-2: Prime Factorization of 18458

Prime factors of 18458 are 2, 11, 839. Prime factorization of 18458 in exponential form is:

18458 = 2¹ × 11¹ × 839¹

Step-3: Factors of 18449

List of positive integer factors of 18449 that divides 18449 without a remainder.

1, 19, 971

Step-4: Factors of 18458

List of positive integer factors of 18458 that divides 18449 without a remainder.

1, 2, 11, 22, 839, 1678, 9229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18449 and 18458. The biggest common factor number is the GCF number.
So the greatest common factor 18449 and 18458 is 1.

Also check out the Least Common Multiple of 18449 and 18458