What is the Greatest Common Factor of 18914 and 18928?

Greatest common factor (GCF) of 18914 and 18928 is 14.

GCF(18914,18928) = 14

We will now calculate the prime factors of 18914 and 18928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18914 and 18928.

How to find the GCF of 18914 and 18928?

We will first find the prime factorization of 18914 and 18928. After we will calculate the factors of 18914 and 18928 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 18928

Prime factors of 18928 are 2, 7, 13. Prime factorization of 18928 in exponential form is:

18928 = 2⁴ × 7¹ × 13²

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 18928

List of positive integer factors of 18928 that divides 18914 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 169, 182, 208, 338, 364, 676, 728, 1183, 1352, 1456, 2366, 2704, 4732, 9464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18914 and 18928. The biggest common factor number is the GCF number.
So the greatest common factor 18914 and 18928 is 14.

Also check out the Least Common Multiple of 18914 and 18928