What is the Greatest Common Factor of 28665 and 28675?

Greatest common factor (GCF) of 28665 and 28675 is 5.

GCF(28665,28675) = 5

We will now calculate the prime factors of 28665 and 28675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28665 and 28675.

How to find the GCF of 28665 and 28675?

We will first find the prime factorization of 28665 and 28675. After we will calculate the factors of 28665 and 28675 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 28675

Prime factors of 28675 are 5, 31, 37. Prime factorization of 28675 in exponential form is:

28675 = 5² × 31¹ × 37¹

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 28675

List of positive integer factors of 28675 that divides 28665 without a remainder.

1, 5, 25, 31, 37, 155, 185, 775, 925, 1147, 5735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28665 and 28675. The biggest common factor number is the GCF number.
So the greatest common factor 28665 and 28675 is 5.

Also check out the Least Common Multiple of 28665 and 28675