What is the Greatest Common Factor of 18928 and 18942?

Greatest common factor (GCF) of 18928 and 18942 is 14.

GCF(18928,18942) = 14

We will now calculate the prime factors of 18928 and 18942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18928 and 18942.

How to find the GCF of 18928 and 18942?

We will first find the prime factorization of 18928 and 18942. After we will calculate the factors of 18928 and 18942 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18942

Prime factors of 18942 are 2, 3, 7, 11, 41. Prime factorization of 18942 in exponential form is:

18942 = 2¹ × 3¹ × 7¹ × 11¹ × 41¹

Step-3: Factors of 18928

List of positive integer factors of 18928 that divides 18928 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

Step-4: Factors of 18942

List of positive integer factors of 18942 that divides 18928 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 41, 42, 66, 77, 82, 123, 154, 231, 246, 287, 451, 462, 574, 861, 902, 1353, 1722, 2706, 3157, 6314, 9471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18928 and 18942. The biggest common factor number is the GCF number.
So the greatest common factor 18928 and 18942 is 14.

Also check out the Least Common Multiple of 18928 and 18942