What is the Greatest Common Factor of 28314 and 28321?

Greatest common factor (GCF) of 28314 and 28321 is 1.

GCF(28314,28321) = 1

We will now calculate the prime factors of 28314 and 28321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28314 and 28321.

How to find the GCF of 28314 and 28321?

We will first find the prime factorization of 28314 and 28321. After we will calculate the factors of 28314 and 28321 and find the biggest common factor number .

Step-1: Prime Factorization of 28314

Prime factors of 28314 are 2, 3, 11, 13. Prime factorization of 28314 in exponential form is:

28314 = 2¹ × 3² × 11² × 13¹

Step-2: Prime Factorization of 28321

Prime factors of 28321 are 127, 223. Prime factorization of 28321 in exponential form is:

28321 = 127¹ × 223¹

Step-3: Factors of 28314

List of positive integer factors of 28314 that divides 28314 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 121, 143, 198, 234, 242, 286, 363, 429, 726, 858, 1089, 1287, 1573, 2178, 2574, 3146, 4719, 9438, 14157

Step-4: Factors of 28321

List of positive integer factors of 28321 that divides 28314 without a remainder.

1, 127, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28314 and 28321. The biggest common factor number is the GCF number.
So the greatest common factor 28314 and 28321 is 1.

Also check out the Least Common Multiple of 28314 and 28321