What is the Greatest Common Factor of 28638 and 28644?

Greatest common factor (GCF) of 28638 and 28644 is 6.

GCF(28638,28644) = 6

We will now calculate the prime factors of 28638 and 28644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28638 and 28644.

How to find the GCF of 28638 and 28644?

We will first find the prime factorization of 28638 and 28644. After we will calculate the factors of 28638 and 28644 and find the biggest common factor number .

Step-1: Prime Factorization of 28638

Prime factors of 28638 are 2, 3, 37, 43. Prime factorization of 28638 in exponential form is:

28638 = 2¹ × 3² × 37¹ × 43¹

Step-2: 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-3: Factors of 28638

List of positive integer factors of 28638 that divides 28638 without a remainder.

1, 2, 3, 6, 9, 18, 37, 43, 74, 86, 111, 129, 222, 258, 333, 387, 666, 774, 1591, 3182, 4773, 9546, 14319

Step-4: Factors of 28644

List of positive integer factors of 28644 that divides 28638 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28638 and 28644. The biggest common factor number is the GCF number.
So the greatest common factor 28638 and 28644 is 6.

Also check out the Least Common Multiple of 28638 and 28644