What is the Greatest Common Factor of 25376 and 25389?

Greatest common factor (GCF) of 25376 and 25389 is 13.

GCF(25376,25389) = 13

We will now calculate the prime factors of 25376 and 25389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25376 and 25389.

How to find the GCF of 25376 and 25389?

We will first find the prime factorization of 25376 and 25389. After we will calculate the factors of 25376 and 25389 and find the biggest common factor number .

Step-1: Prime Factorization of 25376

Prime factors of 25376 are 2, 13, 61. Prime factorization of 25376 in exponential form is:

25376 = 2⁵ × 13¹ × 61¹

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 25376

List of positive integer factors of 25376 that divides 25376 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 61, 104, 122, 208, 244, 416, 488, 793, 976, 1586, 1952, 3172, 6344, 12688

Step-4: Factors of 25389

List of positive integer factors of 25389 that divides 25376 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 25376 and 25389. The biggest common factor number is the GCF number.
So the greatest common factor 25376 and 25389 is 13.

Also check out the Least Common Multiple of 25376 and 25389