What is the Greatest Common Factor of 25389 and 25401?

Greatest common factor (GCF) of 25389 and 25401 is 3.

GCF(25389,25401) = 3

We will now calculate the prime factors of 25389 and 25401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25389 and 25401.

How to find the GCF of 25389 and 25401?

We will first find the prime factorization of 25389 and 25401. After we will calculate the factors of 25389 and 25401 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25401

Prime factors of 25401 are 3, 8467. Prime factorization of 25401 in exponential form is:

25401 = 3¹ × 8467¹

Step-3: Factors of 25389

List of positive integer factors of 25389 that divides 25389 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

Step-4: Factors of 25401

List of positive integer factors of 25401 that divides 25389 without a remainder.

1, 3, 8467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25389 and 25401. The biggest common factor number is the GCF number.
So the greatest common factor 25389 and 25401 is 3.

Also check out the Least Common Multiple of 25389 and 25401