What is the Greatest Common Factor of 28665 and 28671?

Greatest common factor (GCF) of 28665 and 28671 is 3.

GCF(28665,28671) = 3

We will now calculate the prime factors of 28665 and 28671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28665 and 28671.

How to find the GCF of 28665 and 28671?

We will first find the prime factorization of 28665 and 28671. After we will calculate the factors of 28665 and 28671 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 28671

Prime factors of 28671 are 3, 19, 503. Prime factorization of 28671 in exponential form is:

28671 = 3¹ × 19¹ × 503¹

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 28671

List of positive integer factors of 28671 that divides 28665 without a remainder.

1, 3, 19, 57, 503, 1509, 9557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28665 and 28671. The biggest common factor number is the GCF number.
So the greatest common factor 28665 and 28671 is 3.

Also check out the Least Common Multiple of 28665 and 28671