What is the Greatest Common Factor of 28644 and 28656?

Greatest common factor (GCF) of 28644 and 28656 is 12.

GCF(28644,28656) = 12

We will now calculate the prime factors of 28644 and 28656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28644 and 28656.

How to find the GCF of 28644 and 28656?

We will first find the prime factorization of 28644 and 28656. After we will calculate the factors of 28644 and 28656 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 28656

Prime factors of 28656 are 2, 3, 199. Prime factorization of 28656 in exponential form is:

28656 = 2⁴ × 3² × 199¹

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 28656

List of positive integer factors of 28656 that divides 28644 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 199, 398, 597, 796, 1194, 1592, 1791, 2388, 3184, 3582, 4776, 7164, 9552, 14328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28644 and 28656. The biggest common factor number is the GCF number.
So the greatest common factor 28644 and 28656 is 12.

Also check out the Least Common Multiple of 28644 and 28656