What is the Greatest Common Factor of 28365 and 28383?

Greatest common factor (GCF) of 28365 and 28383 is 3.

GCF(28365,28383) = 3

We will now calculate the prime factors of 28365 and 28383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28365 and 28383.

How to find the GCF of 28365 and 28383?

We will first find the prime factorization of 28365 and 28383. After we will calculate the factors of 28365 and 28383 and find the biggest common factor number .

Step-1: Prime Factorization of 28365

Prime factors of 28365 are 3, 5, 31, 61. Prime factorization of 28365 in exponential form is:

28365 = 3¹ × 5¹ × 31¹ × 61¹

Step-2: Prime Factorization of 28383

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

28383 = 3¹ × 9461¹

Step-3: Factors of 28365

List of positive integer factors of 28365 that divides 28365 without a remainder.

1, 3, 5, 15, 31, 61, 93, 155, 183, 305, 465, 915, 1891, 5673, 9455

Step-4: Factors of 28383

List of positive integer factors of 28383 that divides 28365 without a remainder.

1, 3, 9461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28365 and 28383. The biggest common factor number is the GCF number.
So the greatest common factor 28365 and 28383 is 3.

Also check out the Least Common Multiple of 28365 and 28383