What is the Greatest Common Factor of 28665 and 28678?

Greatest common factor (GCF) of 28665 and 28678 is 13.

GCF(28665,28678) = 13

We will now calculate the prime factors of 28665 and 28678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28665 and 28678.

How to find the GCF of 28665 and 28678?

We will first find the prime factorization of 28665 and 28678. After we will calculate the factors of 28665 and 28678 and find the biggest common factor number .

Step-1: Prime Factorization of 28665

Prime factors of 28665 are 3, 5, 7, 13. Prime factorization of 28665 in exponential form is:

28665 = 3² × 5¹ × 7² × 13¹

Step-2: Prime Factorization of 28678

Prime factors of 28678 are 2, 13, 1103. Prime factorization of 28678 in exponential form is:

28678 = 2¹ × 13¹ × 1103¹

Step-3: Factors of 28665

List of positive integer factors of 28665 that divides 28665 without a remainder.

1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 49, 63, 65, 91, 105, 117, 147, 195, 245, 273, 315, 441, 455, 585, 637, 735, 819, 1365, 1911, 2205, 3185, 4095, 5733, 9555

Step-4: Factors of 28678

List of positive integer factors of 28678 that divides 28665 without a remainder.

1, 2, 13, 26, 1103, 2206, 14339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28665 and 28678. The biggest common factor number is the GCF number.
So the greatest common factor 28665 and 28678 is 13.

Also check out the Least Common Multiple of 28665 and 28678