What is the Greatest Common Factor of 25328 and 25340?

Greatest common factor (GCF) of 25328 and 25340 is 4.

GCF(25328,25340) = 4

We will now calculate the prime factors of 25328 and 25340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25328 and 25340.

How to find the GCF of 25328 and 25340?

We will first find the prime factorization of 25328 and 25340. After we will calculate the factors of 25328 and 25340 and find the biggest common factor number .

Step-1: Prime Factorization of 25328

Prime factors of 25328 are 2, 1583. Prime factorization of 25328 in exponential form is:

25328 = 2⁴ × 1583¹

Step-2: Prime Factorization of 25340

Prime factors of 25340 are 2, 5, 7, 181. Prime factorization of 25340 in exponential form is:

25340 = 2² × 5¹ × 7¹ × 181¹

Step-3: Factors of 25328

List of positive integer factors of 25328 that divides 25328 without a remainder.

1, 2, 4, 8, 16, 1583, 3166, 6332, 12664

Step-4: Factors of 25340

List of positive integer factors of 25340 that divides 25328 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 181, 362, 724, 905, 1267, 1810, 2534, 3620, 5068, 6335, 12670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25328 and 25340. The biggest common factor number is the GCF number.
So the greatest common factor 25328 and 25340 is 4.

Also check out the Least Common Multiple of 25328 and 25340