What is the Greatest Common Factor of 25383 and 25389?

Greatest common factor (GCF) of 25383 and 25389 is 3.

GCF(25383,25389) = 3

We will now calculate the prime factors of 25383 and 25389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25383 and 25389.

How to find the GCF of 25383 and 25389?

We will first find the prime factorization of 25383 and 25389. After we will calculate the factors of 25383 and 25389 and find the biggest common factor number .

Step-1: Prime Factorization of 25383

Prime factors of 25383 are 3, 8461. Prime factorization of 25383 in exponential form is:

25383 = 3¹ × 8461¹

Step-2: Prime Factorization of 25389

Prime factors of 25389 are 3, 7, 13, 31. Prime factorization of 25389 in exponential form is:

25389 = 3² × 7¹ × 13¹ × 31¹

Step-3: Factors of 25383

List of positive integer factors of 25383 that divides 25383 without a remainder.

1, 3, 8461

Step-4: Factors of 25389

List of positive integer factors of 25389 that divides 25383 without a remainder.

1, 3, 7, 9, 13, 21, 31, 39, 63, 91, 93, 117, 217, 273, 279, 403, 651, 819, 1209, 1953, 2821, 3627, 8463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25383 and 25389. The biggest common factor number is the GCF number.
So the greatest common factor 25383 and 25389 is 3.

Also check out the Least Common Multiple of 25383 and 25389