What is the Greatest Common Factor of 18914 and 18931?

Greatest common factor (GCF) of 18914 and 18931 is 1.

GCF(18914,18931) = 1

We will now calculate the prime factors of 18914 and 18931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18914 and 18931.

How to find the GCF of 18914 and 18931?

We will first find the prime factorization of 18914 and 18931. After we will calculate the factors of 18914 and 18931 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 18931

Prime factors of 18931 are 11, 1721. Prime factorization of 18931 in exponential form is:

18931 = 11¹ × 1721¹

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 18931

List of positive integer factors of 18931 that divides 18914 without a remainder.

1, 11, 1721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18914 and 18931. The biggest common factor number is the GCF number.
So the greatest common factor 18914 and 18931 is 1.

Also check out the Least Common Multiple of 18914 and 18931