What is the Greatest Common Factor of 28368 and 28386?

Greatest common factor (GCF) of 28368 and 28386 is 18.

GCF(28368,28386) = 18

We will now calculate the prime factors of 28368 and 28386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28368 and 28386.

How to find the GCF of 28368 and 28386?

We will first find the prime factorization of 28368 and 28386. After we will calculate the factors of 28368 and 28386 and find the biggest common factor number .

Step-1: Prime Factorization of 28368

Prime factors of 28368 are 2, 3, 197. Prime factorization of 28368 in exponential form is:

28368 = 2⁴ × 3² × 197¹

Step-2: Prime Factorization of 28386

Prime factors of 28386 are 2, 3, 19, 83. Prime factorization of 28386 in exponential form is:

28386 = 2¹ × 3² × 19¹ × 83¹

Step-3: Factors of 28368

List of positive integer factors of 28368 that divides 28368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 197, 394, 591, 788, 1182, 1576, 1773, 2364, 3152, 3546, 4728, 7092, 9456, 14184

Step-4: Factors of 28386

List of positive integer factors of 28386 that divides 28368 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 83, 114, 166, 171, 249, 342, 498, 747, 1494, 1577, 3154, 4731, 9462, 14193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28368 and 28386. The biggest common factor number is the GCF number.
So the greatest common factor 28368 and 28386 is 18.

Also check out the Least Common Multiple of 28368 and 28386