What is the Greatest Common Factor of 18464 and 18481?

Greatest common factor (GCF) of 18464 and 18481 is 1.

GCF(18464,18481) = 1

We will now calculate the prime factors of 18464 and 18481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18464 and 18481.

How to find the GCF of 18464 and 18481?

We will first find the prime factorization of 18464 and 18481. After we will calculate the factors of 18464 and 18481 and find the biggest common factor number .

Step-1: Prime Factorization of 18464

Prime factors of 18464 are 2, 577. Prime factorization of 18464 in exponential form is:

18464 = 2⁵ × 577¹

Step-2: Prime Factorization of 18481

Prime factors of 18481 are 18481. Prime factorization of 18481 in exponential form is:

18481 = 18481¹

Step-3: Factors of 18464

List of positive integer factors of 18464 that divides 18464 without a remainder.

1, 2, 4, 8, 16, 32, 577, 1154, 2308, 4616, 9232

Step-4: Factors of 18481

List of positive integer factors of 18481 that divides 18464 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18464 and 18481. The biggest common factor number is the GCF number.
So the greatest common factor 18464 and 18481 is 1.

Also check out the Least Common Multiple of 18464 and 18481