What is the Greatest Common Factor of 18914 and 18929?

Greatest common factor (GCF) of 18914 and 18929 is 1.

GCF(18914,18929) = 1

We will now calculate the prime factors of 18914 and 18929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18914 and 18929.

How to find the GCF of 18914 and 18929?

We will first find the prime factorization of 18914 and 18929. After we will calculate the factors of 18914 and 18929 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 18929

Prime factors of 18929 are 23, 823. Prime factorization of 18929 in exponential form is:

18929 = 23¹ × 823¹

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 18929

List of positive integer factors of 18929 that divides 18914 without a remainder.

1, 23, 823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18914 and 18929. The biggest common factor number is the GCF number.
So the greatest common factor 18914 and 18929 is 1.

Also check out the Least Common Multiple of 18914 and 18929