What is the Greatest Common Factor of 28365 and 28371?

Greatest common factor (GCF) of 28365 and 28371 is 3.

GCF(28365,28371) = 3

We will now calculate the prime factors of 28365 and 28371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28365 and 28371.

How to find the GCF of 28365 and 28371?

We will first find the prime factorization of 28365 and 28371. After we will calculate the factors of 28365 and 28371 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 28371

Prime factors of 28371 are 3, 7, 193. Prime factorization of 28371 in exponential form is:

28371 = 3¹ × 7² × 193¹

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 28371

List of positive integer factors of 28371 that divides 28365 without a remainder.

1, 3, 7, 21, 49, 147, 193, 579, 1351, 4053, 9457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28365 and 28371. The biggest common factor number is the GCF number.
So the greatest common factor 28365 and 28371 is 3.

Also check out the Least Common Multiple of 28365 and 28371