What is the Greatest Common Factor of 28383 and 28395?

Greatest common factor (GCF) of 28383 and 28395 is 3.

GCF(28383,28395) = 3

We will now calculate the prime factors of 28383 and 28395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28383 and 28395.

How to find the GCF of 28383 and 28395?

We will first find the prime factorization of 28383 and 28395. After we will calculate the factors of 28383 and 28395 and find the biggest common factor number .

Step-1: Prime Factorization of 28383

Prime factors of 28383 are 3, 9461. Prime factorization of 28383 in exponential form is:

28383 = 3¹ × 9461¹

Step-2: Prime Factorization of 28395

Prime factors of 28395 are 3, 5, 631. Prime factorization of 28395 in exponential form is:

28395 = 3² × 5¹ × 631¹

Step-3: Factors of 28383

List of positive integer factors of 28383 that divides 28383 without a remainder.

1, 3, 9461

Step-4: Factors of 28395

List of positive integer factors of 28395 that divides 28383 without a remainder.

1, 3, 5, 9, 15, 45, 631, 1893, 3155, 5679, 9465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28383 and 28395. The biggest common factor number is the GCF number.
So the greatest common factor 28383 and 28395 is 3.

Also check out the Least Common Multiple of 28383 and 28395