What is the Greatest Common Factor of 18914 and 18923?

Greatest common factor (GCF) of 18914 and 18923 is 1.

GCF(18914,18923) = 1

We will now calculate the prime factors of 18914 and 18923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18914 and 18923.

How to find the GCF of 18914 and 18923?

We will first find the prime factorization of 18914 and 18923. After we will calculate the factors of 18914 and 18923 and find the biggest common factor number .

Step-1: Prime Factorization of 18914

Prime factors of 18914 are 2, 7, 193. Prime factorization of 18914 in exponential form is:

18914 = 2¹ × 7² × 193¹

Step-2: Prime Factorization of 18923

Prime factors of 18923 are 127, 149. Prime factorization of 18923 in exponential form is:

18923 = 127¹ × 149¹

Step-3: Factors of 18914

List of positive integer factors of 18914 that divides 18914 without a remainder.

1, 2, 7, 14, 49, 98, 193, 386, 1351, 2702, 9457

Step-4: Factors of 18923

List of positive integer factors of 18923 that divides 18914 without a remainder.

1, 127, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18914 and 18923. The biggest common factor number is the GCF number.
So the greatest common factor 18914 and 18923 is 1.

Also check out the Least Common Multiple of 18914 and 18923