What is the Greatest Common Factor of 18921 and 18928?

Greatest common factor (GCF) of 18921 and 18928 is 7.

GCF(18921,18928) = 7

We will now calculate the prime factors of 18921 and 18928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18921 and 18928.

How to find the GCF of 18921 and 18928?

We will first find the prime factorization of 18921 and 18928. After we will calculate the factors of 18921 and 18928 and find the biggest common factor number .

Step-1: Prime Factorization of 18921

Prime factors of 18921 are 3, 7, 17, 53. Prime factorization of 18921 in exponential form is:

18921 = 3¹ × 7¹ × 17¹ × 53¹

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 18921

List of positive integer factors of 18921 that divides 18921 without a remainder.

1, 3, 7, 17, 21, 51, 53, 119, 159, 357, 371, 901, 1113, 2703, 6307

Step-4: Factors of 18928

List of positive integer factors of 18928 that divides 18921 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 18921 and 18928. The biggest common factor number is the GCF number.
So the greatest common factor 18921 and 18928 is 7.

Also check out the Least Common Multiple of 18921 and 18928