What is the Greatest Common Factor of 18928 and 18941?

Greatest common factor (GCF) of 18928 and 18941 is 13.

GCF(18928,18941) = 13

We will now calculate the prime factors of 18928 and 18941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18928 and 18941.

How to find the GCF of 18928 and 18941?

We will first find the prime factorization of 18928 and 18941. After we will calculate the factors of 18928 and 18941 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 18941

Prime factors of 18941 are 13, 31, 47. Prime factorization of 18941 in exponential form is:

18941 = 13¹ × 31¹ × 47¹

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 18941

List of positive integer factors of 18941 that divides 18928 without a remainder.

1, 13, 31, 47, 403, 611, 1457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18928 and 18941. The biggest common factor number is the GCF number.
So the greatest common factor 18928 and 18941 is 13.

Also check out the Least Common Multiple of 18928 and 18941