What is the Greatest Common Factor of 28652 and 28665?

Greatest common factor (GCF) of 28652 and 28665 is 13.

GCF(28652,28665) = 13

We will now calculate the prime factors of 28652 and 28665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28652 and 28665.

How to find the GCF of 28652 and 28665?

We will first find the prime factorization of 28652 and 28665. After we will calculate the factors of 28652 and 28665 and find the biggest common factor number .

Step-1: Prime Factorization of 28652

Prime factors of 28652 are 2, 13, 19, 29. Prime factorization of 28652 in exponential form is:

28652 = 2² × 13¹ × 19¹ × 29¹

Step-2: 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-3: Factors of 28652

List of positive integer factors of 28652 that divides 28652 without a remainder.

1, 2, 4, 13, 19, 26, 29, 38, 52, 58, 76, 116, 247, 377, 494, 551, 754, 988, 1102, 1508, 2204, 7163, 14326

Step-4: Factors of 28665

List of positive integer factors of 28665 that divides 28652 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28652 and 28665. The biggest common factor number is the GCF number.
So the greatest common factor 28652 and 28665 is 13.

Also check out the Least Common Multiple of 28652 and 28665