What is the Greatest Common Factor of 25328 and 25338?

Greatest common factor (GCF) of 25328 and 25338 is 2.

GCF(25328,25338) = 2

We will now calculate the prime factors of 25328 and 25338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25328 and 25338.

How to find the GCF of 25328 and 25338?

We will first find the prime factorization of 25328 and 25338. After we will calculate the factors of 25328 and 25338 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 25338

Prime factors of 25338 are 2, 3, 41, 103. Prime factorization of 25338 in exponential form is:

25338 = 2¹ × 3¹ × 41¹ × 103¹

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 25338

List of positive integer factors of 25338 that divides 25328 without a remainder.

1, 2, 3, 6, 41, 82, 103, 123, 206, 246, 309, 618, 4223, 8446, 12669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25328 and 25338. The biggest common factor number is the GCF number.
So the greatest common factor 25328 and 25338 is 2.

Also check out the Least Common Multiple of 25328 and 25338