What is the Greatest Common Factor of 28632 and 28644?

Greatest common factor (GCF) of 28632 and 28644 is 12.

GCF(28632,28644) = 12

We will now calculate the prime factors of 28632 and 28644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28632 and 28644.

How to find the GCF of 28632 and 28644?

We will first find the prime factorization of 28632 and 28644. After we will calculate the factors of 28632 and 28644 and find the biggest common factor number .

Step-1: Prime Factorization of 28632

Prime factors of 28632 are 2, 3, 1193. Prime factorization of 28632 in exponential form is:

28632 = 2³ × 3¹ × 1193¹

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 28632

List of positive integer factors of 28632 that divides 28632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1193, 2386, 3579, 4772, 7158, 9544, 14316

Step-4: Factors of 28644

List of positive integer factors of 28644 that divides 28632 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 28632 and 28644. The biggest common factor number is the GCF number.
So the greatest common factor 28632 and 28644 is 12.

Also check out the Least Common Multiple of 28632 and 28644