What is the Greatest Common Factor of 28656 and 28674?

Greatest common factor (GCF) of 28656 and 28674 is 18.

GCF(28656,28674) = 18

We will now calculate the prime factors of 28656 and 28674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28656 and 28674.

How to find the GCF of 28656 and 28674?

We will first find the prime factorization of 28656 and 28674. After we will calculate the factors of 28656 and 28674 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28674

Prime factors of 28674 are 2, 3, 59. Prime factorization of 28674 in exponential form is:

28674 = 2¹ × 3⁵ × 59¹

Step-3: Factors of 28656

List of positive integer factors of 28656 that divides 28656 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

Step-4: Factors of 28674

List of positive integer factors of 28674 that divides 28656 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 59, 81, 118, 162, 177, 243, 354, 486, 531, 1062, 1593, 3186, 4779, 9558, 14337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28656 and 28674. The biggest common factor number is the GCF number.
So the greatest common factor 28656 and 28674 is 18.

Also check out the Least Common Multiple of 28656 and 28674