What is the Greatest Common Factor of 28367 and 28386?

Greatest common factor (GCF) of 28367 and 28386 is 19.

GCF(28367,28386) = 19

We will now calculate the prime factors of 28367 and 28386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28367 and 28386.

How to find the GCF of 28367 and 28386?

We will first find the prime factorization of 28367 and 28386. After we will calculate the factors of 28367 and 28386 and find the biggest common factor number .

Step-1: Prime Factorization of 28367

Prime factors of 28367 are 19, 1493. Prime factorization of 28367 in exponential form is:

28367 = 19¹ × 1493¹

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 28367

List of positive integer factors of 28367 that divides 28367 without a remainder.

1, 19, 1493

Step-4: Factors of 28386

List of positive integer factors of 28386 that divides 28367 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 28367 and 28386. The biggest common factor number is the GCF number.
So the greatest common factor 28367 and 28386 is 19.

Also check out the Least Common Multiple of 28367 and 28386