What is the Greatest Common Factor of 28665 and 28680?

Greatest common factor (GCF) of 28665 and 28680 is 15.

GCF(28665,28680) = 15

We will now calculate the prime factors of 28665 and 28680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28665 and 28680.

How to find the GCF of 28665 and 28680?

We will first find the prime factorization of 28665 and 28680. After we will calculate the factors of 28665 and 28680 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 28680

Prime factors of 28680 are 2, 3, 5, 239. Prime factorization of 28680 in exponential form is:

28680 = 2³ × 3¹ × 5¹ × 239¹

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 28680

List of positive integer factors of 28680 that divides 28665 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 239, 478, 717, 956, 1195, 1434, 1912, 2390, 2868, 3585, 4780, 5736, 7170, 9560, 14340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28665 and 28680. The biggest common factor number is the GCF number.
So the greatest common factor 28665 and 28680 is 15.

Also check out the Least Common Multiple of 28665 and 28680