What is the Greatest Common Factor of 28644 and 28659?

Greatest common factor (GCF) of 28644 and 28659 is 3.

GCF(28644,28659) = 3

We will now calculate the prime factors of 28644 and 28659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28644 and 28659.

How to find the GCF of 28644 and 28659?

We will first find the prime factorization of 28644 and 28659. After we will calculate the factors of 28644 and 28659 and find the biggest common factor number .

Step-1: Prime Factorization of 28644

Prime factors of 28644 are 2, 3, 7, 11, 31. Prime factorization of 28644 in exponential form is:

28644 = 2² × 3¹ × 7¹ × 11¹ × 31¹

Step-2: Prime Factorization of 28659

Prime factors of 28659 are 3, 41, 233. Prime factorization of 28659 in exponential form is:

28659 = 3¹ × 41¹ × 233¹

Step-3: Factors of 28644

List of positive integer factors of 28644 that divides 28644 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 31, 33, 42, 44, 62, 66, 77, 84, 93, 124, 132, 154, 186, 217, 231, 308, 341, 372, 434, 462, 651, 682, 868, 924, 1023, 1302, 1364, 2046, 2387, 2604, 4092, 4774, 7161, 9548, 14322

Step-4: Factors of 28659

List of positive integer factors of 28659 that divides 28644 without a remainder.

1, 3, 41, 123, 233, 699, 9553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28644 and 28659. The biggest common factor number is the GCF number.
So the greatest common factor 28644 and 28659 is 3.

Also check out the Least Common Multiple of 28644 and 28659