What is the Greatest Common Factor of 18614 and 18623?

Greatest common factor (GCF) of 18614 and 18623 is 1.

GCF(18614,18623) = 1

We will now calculate the prime factors of 18614 and 18623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18614 and 18623.

How to find the GCF of 18614 and 18623?

We will first find the prime factorization of 18614 and 18623. After we will calculate the factors of 18614 and 18623 and find the biggest common factor number .

Step-1: Prime Factorization of 18614

Prime factors of 18614 are 2, 41, 227. Prime factorization of 18614 in exponential form is:

18614 = 2¹ × 41¹ × 227¹

Step-2: Prime Factorization of 18623

Prime factors of 18623 are 11, 1693. Prime factorization of 18623 in exponential form is:

18623 = 11¹ × 1693¹

Step-3: Factors of 18614

List of positive integer factors of 18614 that divides 18614 without a remainder.

1, 2, 41, 82, 227, 454, 9307

Step-4: Factors of 18623

List of positive integer factors of 18623 that divides 18614 without a remainder.

1, 11, 1693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18614 and 18623. The biggest common factor number is the GCF number.
So the greatest common factor 18614 and 18623 is 1.

Also check out the Least Common Multiple of 18614 and 18623