What is the Greatest Common Factor of 28386 and 28404?

Greatest common factor (GCF) of 28386 and 28404 is 18.

GCF(28386,28404) = 18

We will now calculate the prime factors of 28386 and 28404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28386 and 28404.

How to find the GCF of 28386 and 28404?

We will first find the prime factorization of 28386 and 28404. After we will calculate the factors of 28386 and 28404 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28404

Prime factors of 28404 are 2, 3, 263. Prime factorization of 28404 in exponential form is:

28404 = 2² × 3³ × 263¹

Step-3: Factors of 28386

List of positive integer factors of 28386 that divides 28386 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

Step-4: Factors of 28404

List of positive integer factors of 28404 that divides 28386 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 7101, 9468, 14202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28386 and 28404. The biggest common factor number is the GCF number.
So the greatest common factor 28386 and 28404 is 18.

Also check out the Least Common Multiple of 28386 and 28404