What is the Greatest Common Factor of 28314 and 28322?

Greatest common factor (GCF) of 28314 and 28322 is 2.

GCF(28314,28322) = 2

We will now calculate the prime factors of 28314 and 28322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28314 and 28322.

How to find the GCF of 28314 and 28322?

We will first find the prime factorization of 28314 and 28322. After we will calculate the factors of 28314 and 28322 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 28322

Prime factors of 28322 are 2, 7, 17. Prime factorization of 28322 in exponential form is:

28322 = 2¹ × 7² × 17²

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 28322

List of positive integer factors of 28322 that divides 28314 without a remainder.

1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 289, 578, 833, 1666, 2023, 4046, 14161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28314 and 28322. The biggest common factor number is the GCF number.
So the greatest common factor 28314 and 28322 is 2.

Also check out the Least Common Multiple of 28314 and 28322